{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "texture_1 = plt.imread('../data/texture1.jpg').astype(np.float32)\n",
    "h, w, c = texture_1.shape\n",
    "block_size = 100\n",
    "overlap_size = int(block_size / 6)\n",
    "assert block_size < min(h, w)\n",
    "y_max, x_max = h - block_size, w - block_size\n",
    "dh = h * 2\n",
    "dw = w * 2\n",
    "nx_blocks = ny_blocks = max(dh, dw) // block_size\n",
    "w_new = h_new = nx_blocks * block_size - (nx_blocks - 1) * overlap_size\n",
    "n_blocks = nx_blocks * ny_blocks\n",
    "xs = np.arange(x_max)\n",
    "ys = np.arange(y_max)\n",
    "all_blocks = [texture_1[y:y + block_size, x:x + block_size] for x in xs for y in ys]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# normalize_img normalizes our output to be between 0 and 1\n",
    "def normalize_img(im):\n",
    "    img = im.copy()\n",
    "    img += np.abs(np.min(img))\n",
    "    img /= np.max(img)\n",
    "    return img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x1b086992b00>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAADKCAYAAAC11LviAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvUmsZGl2Hvb9d7435njzezlVZg1d1UM1QaJJmQIEWzAgwIDkjQFrIdiAAa5syIAXJrzyUisvvLIIeNBChmDABkgBAgjJpm0ahskGu5vdVV1jji/f/GKOOw+/F+f7I6Nkmp3FTKczU3E28V4M995/PsN3vqO01tjIRjaykY28+WL9//0AG9nIRjaykZcjmw19IxvZyEbeEtls6BvZyEY28pbIZkPfyEY2spG3RDYb+kY2spGNvCWy2dA3spGNbOQtkc2GvpGNbGQjb4m80IaulPpbSqkvlFJfK6V+92U91EY2spGNbOTbi/qrJhYppWwAXwL4NwE8BfBjAH9Xa/3Ll/d4G9nIRjaykecV5wV++yMAX2utHwCAUuqfAPg7AP5fN/TBcKgPb97AF19/ibDTljdtMRJs14bFv6uqBAAoAMgrAEAWJ/JZUcHm9cLAl9eWD9vjdTybn1lQaOQ6qgYAWHwFAKXl+1qbq1nQlbxXFPK7ogRmc7lvVslzFFWJoBMCAPxQ7h91XNi2YnPkgLRRw1INb8Z2wUHZmPtK15dFhTzjtdNCvpfkqLNcflrXvB5guS77RbE9CuY8rhu5V601bH7P8Tz5bddHuyV/+17D35Zw2N+ahlpZyXUbbSFP5brxfCntn8dwtHwesd1e5EFxBmnTbsuC4veaRt6ryxplXq7aCwBN1cAoE2Ulz1TVz8bH810U+V1YlkJ/eCrt4fNatgUF+a5Sir9QYBegquWPvKhQFLwvx69urGf9Z1mrfryXZQCAJ2HI9pjrW1DsH/M7rTXqRj6v+No0DRo+v7mu7bjw2Fe2L2NieTaWF7sAgP7tMQDAtRRg2aYZvEcN8NrQpl1AadqYy2d5kqJKZK64/HEY+AhDGW8vkOtajoLnK96CY6U0bMu0ydxDo+H4Qclvy1o+LLICFdejec2zEjX7m4+GqmnQsD3m+rYCHF7WdeQz3/fgeJxA/J5jW6v1snqmqkbG+ZPnskaKskLD+waRtDUKArT5t8eb2U4Dy2Y/8lWjhpk2ujFz1YLSLt+U16oE8kx+U/D+0zhlP9XQ7EcvkHuGUQAv4NpzOWdstepP87xVWaHM2J6sWPVnXbLB7EgbDWrNvq3qa631Dn6FvMiGfgTgeO3/pwB+81/+klLqdwD8DgAcHB3iv//DP8C//m/9Lfzg3/ht+cJAFlB7r4+wI5N/Mjrnw2moh1cAgF/++BcAgOnDc3Q50b730T15/dE9dG4GcrmjDgDgow/acG3ZjH13AgAI7Bg2e8tqIgBAVXYBALpuoxrJe8fHsTTorME//Rc/BQB8dSmL7+H1Ce7+jY8BAPc+lvv/+t/YQ6crg9ptyUTvWBO0bNkk4Ml1x80WzvMWAKCotgEAp0+u8eDTCwDAyScnAIDzP7+Pxef35dkn8uw9BXh7N+RyXCyh4602sclC2jqrS3T39gEAe3duS9/+zbv47d+8BQB475ZMyMg9w7Anz1xBDteLkfy/yCI8+FQm4Z/+4f8OAPjiX/wpthq57699730AwDs/OIKzL9/LQ5mYw6ADq+Z7S+mLydkMZw8v5R5PZDwX4xhlJg9/fi3PPplNVwfD0TsHOLn/3yIMffztv/ufAwC2BtKP7Y4PF3MAgLLNgewjLeS+1xO53qPjSzx+cib3vR4BAEbLEI4ji64dSrsjz8V/99nnAID/6KPvyLNHcn3PDuE5cl9bS/8UeYVZIp+P4xkAIM5i5DMZKz+QudjfP8Tt770nf9+WTTy81cMf/5d/HwDwt//hPwYA7AcB7JY8S+Pw8M+nUOkUAFAX0ifjhYNLOV9x8VDa8/DPfomrnz8EAGxzI/q19+/guz+UuXL0Xg8A0NrxcfuOfO5CxqoTNuiG3LR5j+tpgaSUNal8+e3lVL7/6LNHGN+X+14/kvXw4POnGM/lQEk4EqPFAnGnx3vImh46Cn2HY7snn925dxPbR7JHOaE829agBWXLb8qKbR0t8NUDWRtf3X8KAHh6coXlUu743Y/vSLu/+y5+6/vvAABu78v1ev0FwqGMkdVeAAByewaf8yZLZM4USQtOfQAA0IWsn9GZja8+l/Y+eSDz9/d//Kl8Nh2jpoJ4413p6+/9xge48x25xmBP1nnQ9bCoeK+FrL3R6TVOvpD2PP6ltOfywRiLK+nHKpF+6jUplpXsRYuL2WM8h7zIhq7+gvf+H/4brfXvAfg9APjexx/roHaRjua4eCANsbdlIpdliWoom3Eyk4Gqyxz1Y+nIZCSDgbyB7VPzXNNUPUeaEngyGfKsBnjguop/qBYUT/+6lkVXVbJY68JHmss1Lseyau4fT/D0XDaEhNpXtB3h4J0hAOD2e3sAgBtdGz0aHP1ANvGuXiCADEYJo3mGSNnlx7m0sSxyNIUMJApZOKpqVm1zqWX7jg3blfc8TkbPtVGWctLbDjV53SBJpa8uzqWPz3+uMAzY7lTavT0MkdZdPpe8d3ouzzGZzPHgp3JWj5/KxFNWjagv49M/HMg1DvtoHUrfNqE8Ry/yoEt5zmwhzxTaFrTRdGL5XhZXyDOOsyUbuxO68LiwB1s9XDxx4HoOtnZkA+gP5bNWy8UWD3/QwtLwQKUHrb4Mhus78CPp762RvPfo4RQ5ta2mlE0pzYHckt3jJ/NP5LeX8v2qzODzzOjRqnRdFwtqxYuUFoAG+pEsYsuVMSuLDCf3nwAA4rGMyeBxD81Y5kjy+w8AAF8ObXR6MhY2LYSsqJDTmqk4xovpHJORPHP+UOZK+XSE/WgLAFYHdLjr4cZNGav39mV+9zsapStrKWpTe/ZyTMuMYyD9FA13ERTyLEVG62IpG+JRew+abav8vrymKZYLOchGhRxyrZ0dZFP5O6M2fmLbOI55MNwXBebRZYbdbdkwjdX7/p07sB32Hy2Uk9NzXF3J98ZPRNlbnl/iaF82z3cODwEA3X6EmSX3ndIirYMFgkz6fi/iJo8hHCoTjpb+mTctFAsu4qX8NhnV+PKxKCB/9NOfAAA+P5H/W/s93OJBcu9Hcojc+u4+9nepLNiy9l09QgBapVvSn4MbbWy9+yEAYOt9OQwe/vgE9/9UDuYL9k8Ja2VBPK+8yIb+FMDNtf9vADj9y35gaSAqLWQXc1x99kjeHEqHxqMpejsyMTOav8vlEv4TGchqLAso0C5CTirF4yPPc5SFbEqa5k2aNFBcib6Sya0B1HTY5Kk0PYmlk7PcxtljmbiffiWb+C+/PMPlQu4f7suz3bqzh7vfOwIA3PlQtOyj1hiDljzftiNaVa+4gNfIRIohJ3OhXSyoUdeZLP4yyVDFMvj5Ql6rJIHFDT3iJtLvtuAOZKF1qAH6rkJFE9TvSLuCosCcdvl8QW34Zzl+TtPu4rFco78XYv+IJronn00uuRiuZ3j4xzKBp2PZQDxfoXdTFnHnFp/pqI3+ttzX9WXSBp0cTUktsy3j1HIHUJXpd1mk81mOxVL6rOCG7ncD7OzKPW7c3sXDX7rwAxc33pH3egO2MbRxNJCFY7w0dW2joAUxpKrYH4YYbElfjSZyCLXL+5hwcx2Npb2LuEDYknn47vdFo46v5dmyeAnwADAuojyrkMcyRzXdZbayUTjmYaQ/m7pGTNfZYipz6+rUxXIhCsOf/fGfSF8EQIsarUs3oljfxl0hc7VIC8T8bXEhbUiSJQa3ZGM72BdF4/DGFrb3ZYza7KcwqBH2ZFzCSPrJcd3VoVGXXFO1i4qHZEOLJ3Cl/5flHOM5rdextOcyXyIN5HutHenj3Vv7+M62zG8VcX2pCouJzKVyLGskTQp8fSmKQ/pE+vPqZATf97/RF3EcP1NcuMF1ggg9WjWBK/3jew48Wl+uIweEpxooTbcG2whVIqX1mNP1mqRAMpf3ZmfXAID7X43x9X2xlC+uzEbOg/L7d/Br/5psyt/5ofT/zUMbw1DaETUyCZ0yRePKvEjoWbgubMCW/qkr6TOkbaiESqnigXL/GJX6driVF0G5/BjAe0qpd5RSHoB/F8AfvMD1NrKRjWxkIy8gf2UNXWtdKaX+QwB/CInZ/Tda60//st9YGgi1hVajUNMky+mDTCcTzGnOwJJTdrlIcEBT3SvldOuF4UpDNZ6MZJ7BHcnnUU9Ovo4bwqno86TvMykVNK+zmMmPJxPRDuM4x5//TNxUn35BP93FCMqXex3cFbPu6OM9HN0Tzby7J5/ZeQLPEi0gpG83siZwqaEbq8BBAktRc2GfNFmBlNpOTLOynMegdwX9LdGod/e20DuUvwfU2lu+jToXjSClVj7LK5xORIs7u5brOlcLzD8Xc+7yofRFE7gY7IpGN+yIdopMtK90Osb0i0cyFAzyDA4HGOyLFhltS7vdCPAd0Wo8mpWWWsCi+a580ZKiro/Btmg2nYFcw4tG0Aze5rZoX8N+F/tH0rc3bw8RBC5838ERLYKoJ2Pm+A16bRNgotZcNghrzoGW3N/zO7Co/bda1NxOM5wocT3oXH7bFEsEXfnNuz/6oYzFVPpwOZ4jvRSNshyJ1rW8mEBl8rmbyTVcV8FmP2oTcbMUGnoh61SstDROVlbV9SMxaMdawwlEe1W0PmsNWNToXFv622o0aloE6eyUfeyg15a27VEr39oJEHbpsotoQfg16lLmly6MdVNBlwzq5tJPuoyRLrhGpvLsVi6uxfH1Je6fyhq9fyGvY7dE6wbn6DsSJ7j9wS18+JH8bTEmkJYpRiO6Tc6lrdcnEzz5Wlx6l4xbxV8+gU2ttNOW/rS0Rkgt3ARWe1GEbkvWkq0595pmtSeoWvpR1woFzbg0pnuuKhE00qcpgQBp5mExl/Y+eSIa+i8+/RLHJ7IXFFrmaOtQfnfjgx28xzbePJDnHbgjbGtp46ARN5RbLVAzljeCzO1ps4fKEivf7sq6aO9vI9wSVwsCWiNQq3jZ88qLuFygtf5nAP7Zi1xjIxvZyEY28nLkhTb0by0KsOwaNw4GsFriH7uYy4m2uFogNxqlJ6dWkRTIqcXRqQiv7cBhALQi3G05ywDjx+vQH+w6yAllzD3+1nKQ0Yc7GonGdHklmsF8nuPTz8Wf9/gpnynP0D4Q3/n2gUTjD24dodWnlk0Y3VJbq5PUN11qhwioLiws0VRjFSFlMNaq5Hv5vMDsXDTAhEgalSXotaV/dg/oF72zh92bct9BV67Xi9wVfK+mbzHOgd1rsQy2qAnF9y9xwUDz8Uj6eJw2iB9JgGlBqJfLiHo6H8POqXVQSxr0++h05W/PQEQV4ND6cA3GTD+DQRpMo2U5ADXlhtprASAjREcxYNsdtnFwJP7ag4MePM+G6yoMhvSx90RzsdwCgW/82dSyLQegD901Wm7lIiHKoojFl93vHmE8pjZa0x9d5fCH0qe3fkt86BXhafHFErMnom3Nvhat1EqBckxHvUOfqech2t/l/WmR+e4KvrYK4FfALyYyBz64JSik83SJip/nhFkmWYXSwDxqBs1rGw7nvFm4Ld/GkAHiLuMotlOgpHWYcV44SiO0K/5tILYWFOetQ59zVQVICd+tqbWfs/1ffnWCz45FY72gZRi9s4Vb35d2vPddImtub+POOwzgE7rblDYWjFtNUllLVxcFep+Jptr/QrTT2Z9Mkcxljhr4MMocsKghM2ge+j48WjCFiUHNE6Rz+TyZm6Cnh6YSy8WiZVLlBSIlc3mSyHVHywrXJzKmn9FC/+KrY0xoifW3xNd98MO7AIA7Hx1h+0D6zLVlnVnVGdqWfH/Pk/4PsEBpi9XecD2ETR8O9ySLgVod1Mi03H8ei4WAdAHP/XZe8Ve8oTeovAR3Pjx6ho99RGjhtMaSUXAUMlmKpETsyWTWxKanlQeHwRonlcY60xw1sb+hT9M2TeEzWh4QduZoB0ksk/pyNOUrA4HzBc7OuJETAljZNly6XGybQSPlI89pphVyz3ERonJls82JSpnUDryKMCklJulFNcR1Kn/PGeSdnM0xP5MJUc/l2Xu+j8ND2chvviNm2sGdLezckD7rGiRIy161UdNMXWYK/lDe6+3IhKt77uqQ6p7KhLu4yjCeyPM1RBCVBYO4owKtHdlYFdttwUZDREc+k/Ep+xUaT9rd2DKV3LIPDbp1SnnOLNEYz6S911MGJJdLzAl2jzrSx7t7A9w4lMW+vx3Cc224NtCJ5LdOKOPSOClsHgJmutvag0XEAmq6V2wLFjfDhgfUrPLAsxzXiRyGs1ojpJvm1g/kAF+O6ALoBqtDWk0ZbI5GcA3WnwdZv+1jm2Pmc3xa3RBRy8xBo5goPPiltPfD78rm0J2cIk6kT2ece/NFjYRB42rJoGwJOAxYekR69VptbPfpiqOi0WorKB66pZY2Zo1G0HCuNEQmVQ403ZKoRYmqixayWOb3fCrP8snPHwEAfvH5fTydyTxyGLy+91vv4uMfSTvuvStzddCzMeiKKyWsiM0vasQDeaaeK8/bu91FtCWuzJ19WY/H1SmOGYjMr+UgyUcZcgIlQipRynVQM6CbM1ckmcSYERPe63DfKFvQdK8URMBVqY2zqXx+PpHD42yyxOVTWYdffirtffT0HA5dnjs7dCe9K4fXYLcPA57LG6KRlIKistmAwe0mgaaCqrWMj7Z8mB8bxNV0MsL4QsAY0ytRtPyswP7wV0LPvyEbLpeNbGQjG3lL5JVq6I3VIAszHH1nDyHN0qQUM7bX8zGbyEmXMHkCSYXKFa29JhQsrhLolJmVDFRkVQV/JqdwncgJnUVzBDahSzYTQ+AiTeQ6o5lo5tdT0QKWSYyYSTwFMxy9jofIJ06eiRfLWYHLU9EyU0Keek2ImMkYY8+Ydw5sarwVNaPLxMUFtcKnTJg6fXyJ2YVoCT5N3YP9Ldy7I8kNN9+RE3p4FGGPwZfAFU1xECm0QhnCmqa4HTcAsxJ72/LbeBCgoQbqE+fc9xd4Qu11Rrx4Qs1NeQUyXiOjBrqYLHD5UPo9LKUPW5WGXspvXUJE26m9yjDMGXS8vIrxlIGmp+fyOpnPkRJ/v38kmu3e7hD7u2LabvVDuI4F22oQuKJSWw5hnfYSsL+ZYQhLw6rpojCZeYVCujDPL69fXJzj8VQ0sZnNQPZBFx5x6P0WzV0G1ZBqJEbx53fyulhh5zvEfg/3etjdlS9GHWqJwxAtusdMnkSVNnCoPXd3RYtTUQ+TmbznetKfvgvMmWQVM8sVaODSXWKghaFto0N4Xy+SudfpOAgjJgfxepWqUKaEWhr4HhRK5l5Uuby3nAJPH0s/nxxLP/3ic0m6Ork+h9OTdXb4kUD1vv/X7uGj74r2emtH2uBhiW1H5nTkMOtbZ7jmM5eBtCvxO2jv0jJYShtmt3LYI9HuK7pNCl1CGxePz4C35yCmW8wT5R5TL0ZpkkItec52r4bRWwPvWcbr4poWAYEIx1djjM5k/V9cyd5Qw8VwKFbH7qG4hqKAmcSNjZgACyuUNmSewsjknlTSfh0DnidAgPNc2jjOO4iZVjN5KgH68y8eYHosmrlFS9hvWdjZFwvh8+ckVNlo6BvZyEY28pbIK9XQtdIonBzdvTaoWKJzxpT9TgcdX07k63P6wacpskg+T6iNl6iQMFiTU1PM0gqWxcAIU3nzaA7PaOhrqdsFOSj+8tRtppi7Q0QRoVMMuC0XOQrmXyfU5FUQwC7oO6NPu8oLKFoSz1K3K1wyoeHihNCt8wmSuWgfHcI1d/p97O+LZrBFuF+r62Ow883U7Shs0AnpK2VcIa0LtJk63fFJa+AHCJgQ0l6QG2eWrcYgNRw61PCCWiMmTCwh/8R0PAcYrHIJwfMahYRxj1Xq9uwvTt0+NVA1BmWXSYaKPBUmA7Pf62BgYKehC9u2YFkNXAbzLAbGGitDRYhiRZqBqrIAaui6YFZqCsTs7zmzM+9fnGCUyjhrJtjs3duDdypZm/1YoKtNR/zC1bQGlFgSaUG/epGgYaJql1DSo3ePcPOWWBetLoOUuyEiarSG3yVNqpU10z1ggth8F8oN2DbGauwMdcGg31zaU+oCYBC6S63ch4WS/vcleXe8ToA0M1mrtOAaD9ozHCXsu1IjWVJbXjLp5aLA/fvSPw++Fo3x5EIgkrWncfP9OwCAux+LL/neB9sY9mUO9B3Oi2qMbRC+Zzh3dLHiwpkyhVupARy2OyAUuYxqpDYT8QgFrp1GuG3wjFcmzWuUjMeAsMUir2Fzfk0XMmZhu7VKNvRJwZGnBTT3jqcjschOLsdYMGZQcH/xW11EHRlTLyQQgnGzLG6QZuTnYaauVm1ktTx7yGxbSw2hGQS+5DNdLBTGpFO4vC99e/nlfYDAhaOefD/aBfZuivX6vPJKN3RL+eg4d3H0gV5l0N2tfx0AMD1+iDyVCVTQ1MzbNqaNTAy0ZFDG2QJgBqLHjLKqvl5llz2ayzXcyzYqpjWvp26bYNaLpG4PmKZtsuDehNTto7ZgiddTtytuzK9r6nZlVdBWjdFLTt1uEU+/nrod/MOvAQC7oJuMm18eFLAVx7GSvq50sQrK9vdkwR++c4CjQwYl+3SB7EVoMxMa7Md4WcAltn/vthzaF/dTeHTFucwqtC2g0XKAGGRWusjhENd+sCOLvlI5FnQfnp+TckEF8DoMfGqZR2HkYrSQ8TObY5oUmDM4OGM+xtnTGJ/+Qg61r4j2SBm8DgYDHL0jrsCjW/LaG3iwtbgvrEqewy8mCCEba6cyZHUaKedomyRZARRaRCFZRHUVToHSkmeq6Vp0PIWGaA/DG5aXBZYMlNrcnJM0Q8lrj5l17bZClFS8AiJ5sqxAYMt7p1N59vPRFCmRUF4t92o5bZRUaGa8nvVU5lNSZFhSyQwSOYyUU8IyGzrzMtp2G5NErnc1YuB7ukRyLdc7/rkoEk9+9insa/n8IGTG7d0d9KnQPa9sXC4b2chGNvKWyCvW0BVCz0cnasGcJaXDkzmI0I7kNIqY3RYkCcKSGkaXbHQ+0NkxZhDxxnWNFmFcRhuOr3Ph4QC+wcVhqGpfhIvDp5br0VXxJnBxLEu6mNa4OC5zeZbXlYtDKRsWAKWJkX5JXBzvff8OAHyDi0P9V9QaCW3zDJXwskYSy2dnE+nDy0WCO3tiVR29I64Hvx1g666Mox9Ie2ynQkKtzzEQWjuCY9gyA+YV7FUYzWXOWXaz6tsJSeImxFkXyHD7ptx3zoB22/fgVfLMbeNmmdpIxZjDlBr9w+NL3A1vs6/kt9OlhfFMPr9iDsiT4xEen4rFdkULzqVb5OjmIQZ95kDIdIdWGSxCe2ekf7bdIxSO3GNk2CMBjGt5zkZLG9yljwkDrw+/kr6dP7qP7EKsueySBHYXJTzCghPCEqfVNTyStSWEq3vZEgHBAfNE5mjhuygZpAc1b7d2kCm5tjJu06yEw8CroQFG7aCZyHXyBzIfjjOxTncP9mFfy5wu6BZWvg2HFseCbsfTpsTllfymIjFdcZVj/oQ8Ql/JGAfXPgZs495A1uHOXoj9w42GvpGNbGQj/0rKK9XQFQBXi3amGNRKGbiM3BAJtSNTXKDUDUDtrDMUaFTrVh/dO+J7dCJTXUGj75NHg9ll8XSJJdn01rk4lheifbwIF0daGU51BjvfAC6O8bWobOtcHGOX2XevLReHgtY2CsYEXhYXx40PxP+8zsVhhtwURigIuUyTElMTT2CRlSB00ekyoNmStkYdDxGzn/3AFLiwVlmzNimPLbirAKnP5LqsLFaFOgy/fRzHSDnnVgUzFLBckgfeZ5IKSkzoQ7dcwm2XlqwdANFM5vk4nqNpcyzJJbNYZpgyEHfJ5LLLixHmDK6aog47NyT+0hnuwmuLal6RLTDVLcyYyFVQt9WwUGYyZi5hpVWjMSIL5xUD2VfTFOcX8izjM7EQ5icj2Hy+LqG26cBBYzKiWwxYRlvYoh9/dsW4R56vCkcUhNsWaJASCNHQqlNJvWInrQtDpVxhxbDEsYjTHA1jXjEtzOJUnm05mOKsI3Or5pxpHAse4aI2LYlaAQnhuTXjPnpZo6APfXkl10eWwglk/Zt5EUVtRAQqPK+82kxRrVEVJSLHA1ipZGYwy/BQMr1/vpQBmqYLOAMZtPZtMWf3Pj7A1vtistkdZo01GoNQMtc0O62KU8QXMjHXU7ctZgm+SOq2cdMYOoI3IXX7y69k411P3Y7eISXwa5q63VRS8SVbvtzU7TsfyTOvp27XZvz4upgR3TNKcUp88Iw5C522h51dUhn35Zm62x580hHQ+wfb1SvKXYuBfoV6xfuswDyKrEDBeZHlMlfmy8XKTRWawCFqlKV8PmbAOaxdqEsZ78lCNnbXU+gSS+3THbBIFzjfJr6aZFVZVq4qck2ZNTydJ0iIV6+JKDEbTQ0XWSJjNhvJ815e1FgSaWUC1HEU4moNOw8AWV3immvjkrkBo9MZrj6RDW38Bdfo/Qv4PIy2WR+hGrhY0A1aEQU1PDzAjQ8/kH4k0MHPKjhE/BjkT5aWSIheyU6l/cXlEtORZGUuCY5Ao9Dq0GVFFEXWVEgKZo2z6IR3zg39PMfUEuVoycz2HIDD/nYioxwCFTcdzVtZlQWLa1PRzdPxFLrcB7YG3Ni9CJ7LoPpzysblspGNbGQjb4m8Wg0dgIUGvu+vKnH4jnGb2JgnLEWWMiPQBQYfMGD4sWiPd399D1vvyglm0/yCttALTAUVZnSOYsTGLF7j4phH4jZ4ES6OJqXWylP2TeDi+AVL2q1zcdz7rXcB4LXl4qjKRubF9OVycQzIQ7LOxVE0MkcuUplbl09JQXw8wcUTsT4yuiIOD/cxJByx1SFctOuiNrwxLAWnmgqaWrhmHkNT12ioXaeEY5ZVg5ha8WTOYHmaonG+WbXKQomGEEqYClSegyXfS5libacOYroSlaLbMU1xfEU3I606XQMpA6QLwvKSNINWpg6ptCOeymfR5RLaJcUzcyuQOvAJOXQ9uiq6gKNlLZk6sYu4fiB7AAAgAElEQVQywSiV+1+N5HX6YIzln4umnH8tbrLmKsFwV9bB0Z6MXXs3xIK1cFNq0cGtd3DwnpRCTGn9+aWGzTWXkxcpnedIzuR+81zGcT6r0Qnk2jXhosrWGPbFijMU3HGToLANKaDMwX1T+tW2kNAKIR0UlmUJkyfQGPBFVcFOTQU2+Z5uAIcQTgOs6Pg2um25b7cnc6vR9rP6rs8pGw19IxvZyEbeEnn19LmuBdd1kVOTbmoTqKlX8CwmsmH7zg3sfiSn5o33RXO6cwTs9OXEtXw6pZQNFjTHgqc1ag/gPda5OHL64l6EiyNjtmVhTvc3gIvj5JqFt9e4OL7/16TI9evKxVFkFWpH4+SYwciXxMVhtOV1Lo6M3C0PJqK9P/pKtLmz+5eYn7PIMINrHcdFy1h4pqq9rVYBXTAZRVnPKtc3+llBDs3IpwmyKmVjQTjpaCxtmOc5ampvVPqwtEsoxjRqzcImlsacGbINn89pLLgMjFcMElZpAXdbtFKfGcmuVqgZgDRlH8u6gmJ8yxQIXjBw5ysL6UwsiCWtofTRFIrFQ0xcrN3vQfEeJg6QVgWW9P/PzDUeX0LdFz+0S36knu1hm9woeyyGcvODA6g9+ueZVOgeHCLYls8LcvwEcKBoNcdz3ndWI+lJ2y5jWi2THNXcZIXTYvZc7DCJp8dkscrpARGTjFindpvwUq0sJOzvEQPP87hAtoJN0vJZlohYt7jgHNBVswqSM98Mjq1WEfGccRS79J7F4Z5TNhr6RjaykY28JfJquVwAlGiQljmmcyYekAXv/HqMM0KEGvIm3P3ue9h9T07hu0dyMt9rZ9hhirGjWeLNsqAD8nwzYajp3BUeDuAbXBwxo9YvwsWxHDPVmKnUbwIXR03tdp2L494Hor2+rlwccZLBtm384s8lPfplcXFkMf2xa1wcCTnuv3ggnz38RCgfzh+coaa211ViNfmVBcXSiJq+5CKtVtwwuqLGajcAoa1UzlDlDehCR07kRJU3iKmtTwhLXFY5/BYpJuhT1UGBhj75/ffEuuoNB7BNkh41Rh8+QD6blHDEKssxZep5WRAxkuYrOG5FK9K2FSz67m3GcWYzFnBADYeIGosJXZNWCynnSEorOei24XdoufGZdKVQUys1HEzVdI7Q+Oepnfa2uxiyLFvoSn/vDnYwuCU++axD5M1OgMaX9ZLVouUHXoiaxVqmhHDOXGtVfJmUTih0irIhnQFhp/1eiO0d0cJ3DmSueB0Xfo+w6QGLulOzV8p6xmM0YeGKWYrFkkmJV7R8khwtJpBZDWlGGmu1llbxlKTB1UiuDfrtB22FxZJovOeUV7uh6wZ5mWG2WOCaE+38Ugby4vISI2YiNtvs2BuHeP+udMa7zJi6115gm+RULgelVg5ySMM16Ssrz0UeMHNtjYujYgXwF+HimHXlgEi40N8ELo6A2WfrXBy9gUz+15WLI0tyKNvCZ1/Ihv6yuDgSwszWuTiWJEj7xY9lI7/+UtxG49MRHG72A5KdOblCTtO7JH1wMq2QBiZIz426Wu3nz6CCiUZtnmnKQPpoiYwmesUDD46FNgnabn8kweukSbDMZIwO3hU32e7+HpTNg57mfsuL0FCxmZKuuMkKjD5hAZOxrLP5+QXqJTlPCKX02wFCBgUdBgJP6XazWjZcAgIsZoVaixoNs6kLFqHRiwXmrvRjsyStc2HD4vjldFOVZQbFv9uhcXO2ELZ4gNF7qgobIcc0pKup48SoLc4fW9roh11kkN+awK9l+aiZj2GT/K9AhpScPcOBjOnh0RA3bjNT+pCKXd9f7QUewRFzHg5N1SCYGRwii7tYLjwqjzWBELWfIaer1ORClBqwGThveJAVVQZNRbHiJp93GgTBt9uiNy6XjWxkIxt5S+QVa+gVimqMr3+cg7UCMB0Jy93T8QTe3i0AwP53RYsMtmLcviVwxY4lmthW9RQ3tGietkPzxunjpJamrHNxNEZ7WuPiuCSs8EW4OBpqpZqa3pvAxXF0U+CF61wcWsnzv65cHEWeobEUvn4i2t7L4uLYPZD5tc7FkS6krx78XOZjxezieLxEn1pfhy4Aq1SoWMqwosaaLyssF6YYC7OPPaChRWhcGmncrIqRzFnKbzKaroKHMLDOwMPwQDI0P/r1H8g1fOB6LsHaoC8a6P6NI1j+N7W9bthBQVM9Yq3UOi/QYRD6mgHdar5AvVjwtuTYaUXobUtg2CNEsNqR+bETdtBiYNFjQpenHcS0tGZko7RbLTy6/lKeie1WqQ1FkIA22aM6RxYyiYdtCCIftmsCqmRdXZYoqQ07rM/ZrgIoBkMjJWPlKYU5VdQFXZULW8FyjMtTni8pY2gm6bWpge8eDnBA2PLOHsEJgwA+s7hZiRFRX/qmzGp4lvSdZsKdW+QIOI6KWbl2rPDVSCzMgi6XRjvQ5HcyyalV3RjPMFy6corzU4SEUD+vbDT0jWxkIxt5S+QVc7lY8K0Ak+sxSp7qZ5cS0BgtFsC++K46e7ur19C4sE3+jNUgJ7YtZHHWEhUUYYjrXBwptYh1Lo6AJ96LcHEYqKUp8PomcHEYLpx1Lo6URWtfVy6OxrbQAFiUL5eLYzkQjW6di+PvsZ+v/kh4052MGqsXwmFwdxaLduxut4GcPOyENMbTOUaP5e82fc+DrTbC1jNGUACYTWNUpkDL2BTiiEC2CyyYkBL09mC3ZT3Ejahu73/Yx2/ekWSaeMmi31GOvGagLpKxrX0beUJt80DuP370GM0pA9wncr1WpuGDBYy5vrb2t3DjA3K39GT8PrLlup7rwjGJgAzspssSs4ms5WAm/ZRnGgf2HQBAEjBQPUnR0K/s0FJoVyU6pHAYRiaofwGLcZTeFkso5leIS+mzI7KalrVGsaTFpqTfg1qjzQSkvVDu/3jkYELL6eSSjKNXV+gyUDlkwtnh3ZvYZ1zCBEc7XX9V6dBYWD2P0N0KK1qQrDLJU0BGS2JOT8DF+QgF9yGfNRNmtoZFSKbTNsV3NIpMnvPrpzIvo1kb+UNTj/P55NXi0BvhWrn/+WNUJDY4uWZ9x7JEnyZedCAD6Wz1gVA2udKVBbZsHIy5AYXc9OrGRUITZp2LY8ry7utcHB3iWF+Ei8MmedibxMVRE5myzsVxeSHXeV25OH7yT/poao27P/oNeYaXxMWxPKfLao2Lw+QHKKKQItrYDmw0pioS51ac1TjlvJ2DyKDAxuEug33EhRd1DpsulILIkiwuUHEDaOQtZMsSZV6v2gEI2sRsGI7hFnIsuAwGHxJ91Y9KlCxAoZmMkTs+Fh5dXKEhefMAn8+gOBZ2Db8r7fSJ7BrsdLFFvHrXrI0+Nx3bhk3lpDE1dhcFAl/62PPImRJXKIgwW6GB3ApMcIby2SdIV0R3Y26AbqOgPboy6Iap/QYuqaNbQypWvg+L/TLYOmI/uZjzJqaila7UKuCcMBO9bGq0utLGiO0O2i48un8c6VrYPsDmQikqJAxoN42C0iYbl0FXpaF50pV8bVSzKrBhxjHshPBIlR0N5dVybFiG54nImsXpCPPiJePQlVI3lVJ/pJT6TCn1qVLq7/P9oVLqnyulvuLr4FvdeSMb2chGNvJS5Xk09ArAf6K1/olSqgPgz5RS/xzAvw/gf9Za/wOl1O8C+F0A/+lfdqGmbpBMcnz56dfw6fJYMACgnQB2SzQ6i5jmuCwwqw29rmgcbWd75dbwqSHXaGFayudXNJUvny5xdszMwTUujsNDMfNfhIsjoyvjTeLiiFgH9RtcHAzmvK5cHO4/DdDUDXbeuQng5XFxKGrN61wcPnHgBx6ZBWvj0qlNLBYFfzctCkwuGACkRexGNlJq2REDv1Hor40VNbtKrYKi6UzaPZ9kyBm4B5kyPduBT6gsEzDhOYBHS/UwkO9vWwmgpe9NRulCZThzxcptfNKvhh5yR+67INw3czIMBt+E6u3d2sLNGzL2Zo30duUa4lYk5p2a93KWwiMQwWJbF16+slIqjmemUhT0XyiW4NOwkDBQmNClglmOlN8rGdisvAZ+l+UHBzKOoe+gxYCl05PnLbTGnO6sKV9n1xlGpzLnZyxQAldhixnOgy1pW3cQIOJe4NP94wZqpZlrgh1K5jDoxoLFMnP0SqJpCmSF9G1cmLrDOcCs73BbnrNzMESX8OFwn8yxrg86ARBeyffOf/YABV20zyu/UkPXWp9prX/CvxcAPgNwBODvAPhH/No/AvBvf6s7b2QjG9nIRl6qfCsfulLqDoBfA/AnAPa01meAbPpKqd1feQGtoEoX508n6NCHvWBSie60QWUYObNI46sFLkZkVmQRYi9qIVdbfHgC8GsXI8KpLhkAefTVBc7uC/ZvnYujQ631Rbg4CmrjbxIXh8+iE+tcHOkjCQ6+rlwcQdtDU2nc+o7ANV8WF4dmX6xzcbh/LJqQyVI8p6VVVOUqqUz5MgdLp8GiFA2sYiV3p7KRE/bpc451wgidkBogg+A+XNTURicsQ7iYpMgSQnCZNGYpDZcqm0n6sdHAUSbBRp63gyn8kjBeTtbQqRHTlzwBC3YrhWnGeEtOH7WdobUt2vXOHdEKD+4MsMeCJ9vsM6u9xvjHNVJ6z3TBnHN0uWAcK88RGhQDzekkz1CUxmJl4RPfW/mfG14uzZbPcKeEDDcjG/6JPHOLlpbverB2ZKyuTNZl28MFYybnpWjKJw/HOP2Khd5HMt/b7TZ6WzIenQH5m7oBfAawHZZktLwG5mFMDxhwRNM0q81BcczyIsM0ZqYzre15maK1I9r44KbAott3t9F/X/z+/g6zgR21KlUZ7srYbbkRxpdilY7+l5/jeeS5N3SlVBvA/wjgP9Zazw2q4zl+9zsAfgcAbhzeQOj3kRaAz4owJbMo3cBCOSL17AMSSZVLHBMjXQ1lcmX9AF2axSZgUTQWrokjvmT23cNPnuD8gbgD1lO3fZq0L5K6bVK236TUbYsrcT11e8KKQa9r6rbraFQKaG293NRtZTb09dTt/5Njz8BY3pDy1LbgGYI2s/giCxXJvDKdsq8Vxqy1WsZELV1PMKBraK8nWZ99r42SLpcRcwfSuEbBTVHZphpWg4aZlxUP0qZsoJm5WzEYq/wMPuTzgBtLrQoEDLqbfA9dWhgxtXzJ4GDkaERD2dCHrJY12GthQFdLlwHDjEVgdA005pChlhKENtyQOGyzyVvNimDKIL0WaYIGdM0wC9rv9xDwgFcMgIbLGCXzCWYZM62vZ0hyZoCz+o+jHdgF8wL46lpdjKkUHl9LG4+/OsM5s34z8tzu7G2hTfhcxP3Fs51VERu1Su9tACpg5mCyqOg0dbNCWJmxi5cJxkTUjRNZt/O6QJeKTetA1sD2nW1s35H3gm1GYB29OgRTUj77/R7OL6Rtgr361fJcOHSllAvZzP+x1vp/4tsXSqkDfn4A4PIv+q3W+ve01r+htf6NLUZ0N7KRjWxkIy9ffqWGrkQV/68BfKa1/i/WPvoDAP8egH/A19//lXdTFpQVQMFGSBM0pBnWclqoruQUvvpEMquqUYjZmWg9k6FkaJ32O6uq8iAMqFI2ZgwOThai9V1/eYIxgyHrXBzm7xfh4ljwt28SF4fVYqBnjYvDWhBa9ZpycbhOAygLYfflcnE07Od1Lg5TO3ZWEvIZMhOy00H/UFx8xmT2hiEqQlcLasoaFeYnotPMqHkvLha45PgwVoaFm67cWPMlI6qVA0W3mzaQwjJFxkIv6ZIuvqRAlUn/pAxkZ1aA0JE+aLgeGtVHXZCydUFrZFxiyvVgSii2wwgdFlXpbFErH7YQkD7aQM4Nn0hVVdAMFjeOAQnYq/Wo+F4NvXLLGbBAZQEOg5jBgWinnZs7K7eb22P2daYxuZT5MDqWurvz80skLCdZ0a3laA9NIr/Ja3HJtToBHieyvu4/Emvk7MEVklMZD0UXTtv2YNWmYA05hgqgptVembyRxlpp6DWhpnVB12VcIF7QbTqTwV3OU8y5bg1uXnsBLK7HgG6e/n4LOwe0SHqk23ZqDDlHNTmW0LEwGEr/PK88j8vltwH8PQC/UEr9jO/9Z5CN/H9QSv0HAJ4A+He+1Z03spGNbGQjL1V+5Yautf4/8Cwm8C/L3/w2N2sajTQvoGGjxaw2reSUbbX6uF6I5jl5KJpOPbOgnzApqCffj7o9WCboZzR1z0VCn/M8oa/tcoqYXCrrXBwWLYIX4eJYkJnvTeLi2GGgcp2Lw9PSj68rF4etGtQKsMjZ87K4OAzkbp2LwySMLGJSGO/JD7YOBti9J5r51m2BT3b3hqvrmgS5PIuR3hMuohnjHlcPR7hmYD6lpXk9n6Nkn5q5GvrdFSMoCOOrihQZnyUhJDWPh8g5flNmNfd0F4oggYIB0FkxwNVUxvbyNF49S0IL2GfAdDjsoGfWFTMWw3YILzQlDpm1yuS2qqhQlkZTZaTf1mho0Rb0KadpjgmfOeOc9rstdLketu4yE/XONvx9sS48cgz5tYfONRObGOSePhpg/ljiYVOya37xxTkSMoyOS+4haPDJTJhGv/7yWL7/+Bo2oa0twpEDKJRkpS1NPGzZICMUVBl+49peBW3rVQY4EwenS8zG0sY5k/uWixwpY06K2Um+76J3KNb41qFY7Ft7HQxZzjGMuM51in2PoIiV9WchaBtow/PJq039tyzYQYDbH3i49b48/KDzEQBguWzwnqFb9WWCLqcunj7lhn7BCinOGDUJo0y17dK2UDEcoGnqOZlCx5NJsp667ZKa90VSt6cMuOSLNyd12zOonrXU7ZSp2K9r6rZn2chKhQnREy8rddsUgVlP3TZVhEyAq3+DJGaHA+zelusOb5M//nAPXQYOa2bAJsspqoKuKG66k90xHgWPAAAPCjkgp8tT1GvIDwBohe3VxmHyHuqyWAW/zTMVWbU6JOeFNGzmK+hG5kBeynuTxMfVRBp5eSb3uHhyiSom3p/FVHtRF+3o2cYDAF7gwuYcaegG8phH0TQaiu4q46Kq63q1kRvSuHiZIGUaO5gTEXUj9PZkTg8YHAwPunCZs+AQX+5XIXyuv60+D6qtA5wSCHHyyRcAhIwunTAHw2dOiZ3gp2Nx1149FOSPc11jjweYy1M9UPbKvVIz36PO9LO/qbDU0LCYx8CuWIEfFvMUycJkxnKc8mqVr2K7pBFpdbHFg2y4K+0ZbgXotKXPXCVrKSzniLShfybqrdUCNvS5G9nIRjbyr6a84pqiDeCUuH1vD+9+R+hc+13BY5aFBcsTU0vT/EwWAb7znmA4r8idkaQ5pqyifcGq8nFWIyOca7zGxeGYCtxrXBwxT+YX4eLIs+Yb130TuDgMfnadi8O4mF5XLg6tFaDx0rk4Go7ROhdHWZggqFhV/f0P5f87+7B/+I7043dEUx/0bEQN69oSMrjj2Gga0epn1I7zsI2glt90WZWpiSKM/i/SBnN+Ppo8QEhrsgdpV36VIbZEy1wMpUHXt9sraO1vMcPwel7jrBaNV7PvknmFx+fi6rn/5VcAgLMnjzF//CkA4OhQXEitgQefxEUB3W9YVEhs1rQkxn8ykXVmKY2GmrfDqlnJeIkF4YAm8Hv8ZIarpQQ0jfut1d6De8DM04/k/kcf3lgFAn1awN52A1MqOBuxNm4nRuPKuDQdgfue//wMV19LGycPHgIAqi/vo+TadLke7VqjYNGZiDV7p9cFBr487PxMILNP7QrzKXMkyG0UBR76HflNry1W0NkDultHKeYc5yWrriXTZkW3rdh3nYEHlyZht0UrxKkRVWKV3oqkjX17tMotKEkNfVVto+2IVfi8stHQN7KRjWzkLZFXXFO0QWnN8cEPbuGjH8gp3WuLf8m2Ajgs8ZXlov2UaXdFV3l2KifpeBTjgr7ULmtsTiYpYtby8xM5DevaRs1A6ToXx5Sa9otwcViNdJvF7nsTuDieJYI94+JYEm71unJxVLVGVeqXzsWhmZa4zsXRMCPQonbWOZL+3L65jW1y0jDGjJadoKdk4rRYJMRWFUpqtn3GaeyqsyptF48ZhVsUmKzB+wDJ/DU1Og3JZVVqLKcMgpNlcvg0hh/Jcz38jDA+C6jo8y1I3zgfpzj+WtbLE9aXvXy8RDuQPmvTGgiVB8XFYRLIqrSCyaszEMWQ1qSqKxSE71VMyCvzehWTMH71RgEZrdeQvExe1EKXENMtwvd2hwF2mIUakArbaqXwOb8qzkdPd+HSmgtsmat20sDi+h5dSZytaTSIYQBj5nC1vWJKBa3JMq9wSasiruQHyzpGbynj1uowyOp7mLpibfqOWPQmNJCn1coaMDVs8+xZ0BiRXMMJQ1g+E+O4lzluA4/z0eP8DHSBUNGvzuB/19VwnW/HtvhqN3RVo7KXuPfRPm68K5MroCvA9x2EEcmkWLdP1SEabl4lTRi334JHnGwNM2kSTLhgTFr1+XyxwlWvp26XZlN8gdRtmEg/04s3qdv/36Ru50WDPCtfeuq2QROtp26bWqcRiaj8PbpAjnoY8O+2LwutrUc4dOQ5t1kQ29UpZo3cvwpFSVEHHUwTuV5ZiAITah/Hf8igo3HF1Q4s0hsHdFHYDpByLY+fill+/Ok1moLZvcdisjeBjYKZmqnB0o8XGD+gAvRYfttcKoTMwbClGWiSGjXRXg3RHmgDNnd0n1XAYDKiS410Lt/P+HDTcYqpQXlwDSR5gdLh+JB/v7+7g13mZezuyJht92rshtJ/rZo0Gt4IAaS/NedgN3DRHoqLKWrzs6JCxfXdp0slT8oVNjxjroggc+RZJ8SIOxZQO4IEm9esmVDl6BPtNRjyAA8jBJYBEbC2gTbF4utntYIZbE6SAhkPxoC5JWHUhssN3Sb5necq+HS9RlQq2igQ1cyBqLiXuSn8b+lE2bhcNrKRjWzkLZFXDFsE/Ejhzt09DLZoYhGqE7gaUUdOJseR09B3GpykotkpnqQtP1q5IYYmawtzzBkU1bNnXByGHGudi0ORrOlFuDgUoWMVYVpvAheHNjHbNS6OgEHE15WLIy9q5Gnx0rk4GrrP1rk4DP/NkFh2i4Rlftd71k90r0T1HDvU0G96RkNf4IRkODHHOLKBwUDGZWuPGZtn8Sq71ovoulsqePTLdbuiOTpOCyOO83jKYjCfXSKb0irVYmE2HQ8lXVcxaYiTWYyKxF8u66b2YwWH1p7L7Mg6blZunUnEdab0KmM5MpBGQknzPMec3D0xq/Bcny8wupb3ZiTVW6YpNIP6Xlva09nexoDB+jYrb0X2BF4t7rSglLXX8sZwiMFtlPRdE/ZRBKKhJ7U80/Cqi9FcLLwjZjBPRjOcPZXrjRLWhM218bRAcz+oLOARSfSM1uwvLYQTBnCZnd0P22i7Ms+Mq6dDCGddaDR0ScVLA9fMULAgBePycH1vtScoh8VybA2H89Klhu7pCgH9RTUD6HaxgP8tXS4bDX0jG9nIRt4SeaUaum1ZaEchdrb7aAVyktr0+7l2hsgTDUjRVxm6BUIC60v6nougg4bZpc41A5WXKRL6Ste5ODwyBq5zcXjMvHwRLo6Iz2IZTfAN4OIwiTXrXBxGw3hduTjSrEKRllAvmYsjZSLIOheHzUBun1XdOyZzMgjg8zNPmyCdhcgUzmAikNOkUFxOdUXYHxp4dM7HE2nDyYPHK9/vkEyQvl0hpMXR67KMnhMiY8DD8BMlF5OVPzuqZC7ULRsFoa1L+mDLZQxrJr/tl9JPkfbhMt5gM6ifxCUurkSTTZglPF7M0OUzmJjWDoOZZV5hPpeFkHIOzkYlMvrVi9T0cQlNcIBm3wWtCAFhex593raew6+u2B4JOm5jBE0NPSn5vMhXEFe3K/OtvR9hOBFrqsdnSpYJNBO9ciYdNkoj6IqmH23JfuCGAZYLydgGA5WFVSPmIr9gsqFbX6Pny2+6zLQ+YEwNlQWLCVqrerVZCdDqQ22yTSvUDPgai72uS1QEE5hgfAWFhvuKKXWo9bMSmM8rr7hItIKtLTGNWR2o1SIiAAV8mowVXRBWlaDT4gbslKtHbgqagDT7krjAkqny66nbWwdEgKylbneZrfYiqdsRF2nADfBNSN2uaAp+I3Wbm9Lrmrq9jDNUeYnoJaduz6cyLuup2ybYRaAK+g2rOMVAOaM7j3PRsnrIuBDn3ERVaWHOQFthkVU07SK7kH4//qlgpb/+8S/QcAM42OLhcdCFa4KhRBzVFWCyvrdyn89eQ1XMLCRtsPIUGrbRcMsVNVZ8zwHH1mkajFl3NqHba1kXGDNjuh3LPfpxtCI8a3NOpQsix8oKGdecUQbyhUZNV5NFSmy7BMwAKSpOju/AD7+paPhWszoYBzYJ9FCs2qMYkFzoDBaRH44rcyrq++gfSP/ha46xbSM2qCu6LxrfWVHU+oekrB208Y4vY+QaCFpdYTaWQ/L6RDb79GqBOuMBRlSPxUNL1wq+w7HifqCr+tlGztySajFHRhK2PJH38lyviABj5qoEcACLe50tbSidFlLDGf2csnG5bGQjG9nIWyKvVENvGo0irVEmBSxLtASXFozVaKjGgHDptqhTuOREMCdjvciQE46cMqCTzhOUrBa/zsXRIzZ7nYtjeCja5QtxcbBKUGOy4N4ALo6G7qF1Lg7DT/PacnEkKVBq+MREviwujoUx0de4OEyegeH2md0Xt1Ge1UgyCYjrm/Kcg60uZswnaBjUalSNkSsZr3UumuP42sHZ53Kdq09YbOViCYcuodv7pj/bq6Coxc+yLMNgTnjfjmiW46slphOxKhb0OIWuhRbXyID9WNttpFxfhq9nWWok5OAx1sVCVbgmfNcnVLi7DDGcM8+DGnqPqbdKWyucd2DLe8ukQEY3Ws75Uy0yWNucowQk9PpdtNsyBwKfLhfLeQbvI1TY0yWUYuDRYM8rC4rP3Bjry1bwQj4Drci5rpFT09e0BoJeG53bdM3ckazzYFmZeMUAACAASURBVLuFHboqjYaudIN0Ss6VAxnvq4fnWHA+5MyqHpO0SVVAwH4xXDe2buDyOTU1+2IxQbGQ/SdlkDtJFeKQz0yXsgMPJQEL3AaQNyHshhvkc8pGQ9/IRjaykbdEXm1QVDXo+CmWyzZqn5wMPPnsCqhnotGVntCULpUNdyrax9mUgcpZgysGyZIzalFnI4wvxf+1CoTufwiPJ/I6F8egR43zBbg48mMJ5CSsO/kmcHFYJgFojYsjIb3w68rFUcUa0ECRvVwujvmIv13j4tCkTJ5fMmGnEUvBHvWwxUQPx5V5uRd1sAioDTtyXTgNZkrGMafP+/Q0w9nXEuwrr8TS2gm7WLrynLssXrB1Y4AW01A9z3AHVUgNVSvZPR/fv1jFaL48eQQACIII+2TpHNLf6tohUtsESskSmma4eSD8SQX92qnOsCCcdBzLc55dNwgNBJWv93bkd67lwmEwuk3ocJE3q3q2hj0yns6x/YGsuR3GCbb6PbRY8tBxGSODDWV4dZjJXGcl/IABZ8vU/bWhTZYn4w9VZa0szONrmQOX8xlimmIOsz37Rzs4el+eZe/DG9JnO324jKF5tAx814ZifClmJvrZjROcfCE0vKMz2V8uf/o1AEAXjXANAbAJebUsgN0OTXBGGS9RsoBMldJSzx0wprzKqI0tF2Af5GQrjdMGqvl2OverzRTVQJEqfPX5MXbukHZ1iyQ2jrMyN6tcOjktKszNhLvi5jOucEGc6MWVvE7mE2QMblohUR9HA2zfFNNpPXW7ZcvieJHU7TlN9RlN0zchddugcNZTtw2h2Ouaul01GhYULFMF6iWlbufMcvxG6jYXZ34mYzab8mA5XyAdy3vOnAG+5BbGd2Qs7EjmWKkjWLEc/pMncq+TPzvH6c9kQ8hJBud7NTJf+uLwh7LBDA/b8AwVxJAmuFVidkUkyaX0d+TvQWnjO5JnmiZLjEfcbLTMmeHWNjSRL0kjB9TOsA+b1+7yAGiFPiJio6sVOmuG2USeOb00FZXkGuU8xW4oG/SNAbcO3SAtTUFkGRN3qGDTlZL6cv2rMEUnkM8ji7kf9Qh2YSpXSv/kVYE8kme/5gZ3UiukmmPrMuO2aZDP5LeLSBS32egxctJth7fEfRJ9fAfhX/9A+oUZ1IeRxmJbnqHHuRUmAM9tzHnwWIN7qFnfs3nIYs0zWW/5xSUy5oX4pNTteEDIvIiCcz+fpZgyCH31UMbnXv8d3CRFeEgkXKbbqHzWFKYb5kK1UKwQ7c8nG5fLRjaykY28JfJKNfS6AuYz4H/7X3+OWx+ypua2mJ8H/RZCam8NK9RcJykKapYXxIbP5jmOH8opfHIsGYTTeYyaGV+dNS6O3pFoIutcHG0t2syLcHFocldMzkRDeBO4OCoGY9e5OKbUPF9XLo5aKehGo6Tr4WVxcaSEQa5zcRit6A7rkl5QW0vrEldPRDtbxKLtX1ye4fCukKdtsTpS2HZh0Up6/MtHAIAHP76P2ROxIgNq5Tdv7SGbSb8MiYs+3OtAsdBBmxaPa1lQFau/U9uriw4WrPHaZCRZOznGFS3AJGYFpKiDdkv6p3ck83Z7axftW3TPkXrYbrVRmdwDwhvzdInRufz2uiOBXNIOIU9izOiXC+YCP7WqZmUdZywi25Q2XEb2mphW1SxDwUzSmnU0VcuGZaqOMQtZlV1oJXOv5jyqrQAlrzdnVubZxRwPj+X5jKUelzkUA/LRkBW6eh0EHXkvYK6EFzXY6VBDp2UZBBp1i4RZxsRtuVgS1plVsg4O7on7aWJVWDCLfUGIb1kBFq1Thy45r9tClBniOuY9XM4R03Kx2wbW6ULTqtFct07exmJk4NrPJxsNfSMb2chG3hJ5tRp6AywS4Mc/+QpPpuIzizw5gW4Nh+jSNxyQP2Wa5/CMP2nOUnFxiTNqTNeXco3KAjxqZetcHKb4wzoXR1STD+QFuDgcXu9N4uIw3CzrXBzX5/Kb15WLY6FIDknI5cvi4qiZJLLOxdFm5u7Hvy7JZY+fMKFrOsPTkcyzywfybBfHp3jyiWhsO4RydnsduIQKPvlC2CHPvz5fBau3b4qf9+jmNh5/Lu91utIX2z0LFWMhPsswWraFhpmVrsUEn7RAb8QEOmrq7vQaRi+z+Br4EQZHcj9NKujh/i5a78p92z2OY7cDxxRb5VZQxAUuTwR+eX4ilvD0hJBLC8hHhO+lxoQpYBgtteECqh00tARLBqDTywTlmFncO8xWbnmILfPsMo59q4MSLO7C1xJd5I38PWUc4/RsjEcPxEI/fSzP6ZUFtrfFwjq4KVb2wW4Pu30Wk2Ed305HoW9iaXz20MtQtpjAxrKKXruDkgHuppC5WhzKeijn11ies55ubBhHFTxl+JAItbVctGhFK8bh8osFElrlgfGRNyFMeKTgPuTnbeTXMueeV15txSLLQhNGKIMIp+Tino9kspz4Iww5cVstmXBFoxFxoY1pTlbawoxR/5K4Y7fro21cA2up2yagt5667WmzGf3VU7fnY9kwem9Q6nZJd8B66vaM5tzrmrrdNBKmDbok4npZqdts23rqdkQyro9/wIK+fTnsrucRds9kDj46kXadX80R05XymAFQ13bgujws6TayC6BrTH/iseUA4gHFIHhT1Kg5fjxj6MLjwc2sz7KukLCNS/ZTXBVwOM+3W3Th3L2Jw+/cBQBUpqLVsIP2O8aNJu3pdlz4RGgYWue6aKPNAtntI+n35EwOB9fzMf5ckFvVpazBqqpXCCqP6yewfcQMqDqezM/5zjUmu3I9gwGf+Q3sNucyES1F7iPX8r0pXS9x1UNKArflXObs+GqJ8YUc6gXXwHbbw52bMqfu3hJX096wjX4oz7dFdE3HLrGXibu0ywz0QCUoif4JIHuIcjQSKgQ5D6sZFYipo+AZqg7y/utGauUCgKZ7sNYNShY6WJAh79LV8E0GcyH3ijoBGpM/wXnR1QXycx6czykbl8tGNrKRjbwl8mo1dMcCtgJ876//Jia5nK7JZ3QzLHPUhGKNZ6zLZznwRnLmLOgycIIWdG7qhjLzzAngUitc5+KgwvQNLg7LEg3xRbg4Agbp7u1JgORN4OKoiU1c5+LIF9QSXlMujhoasBSsl8zFoQnJXOfiCAIZj1uE04aR9NdB6mPvQLTD3f+bvTeLkSxLz8O+c/cbe0ZE7pm1dHX39MyQMxQ5JC3RogHpzaZtPciAIEMQBBp8kwX7wZL9pAcbkAADsp4E0BYMPhggBOlBL7bpRSbgRRyKI87Se3ctWZWVW0TGHne/9/jh/05UNDVmV7uShcpWHKAR1ZkZdznrv3zf92+Lxfj4yRBnTxkaupJ5nExnWBjcG93toNFEUJPvVuynKIlRkpWasLjK5BqwiD12XblHpbw1zSL53Xy2xIJQ2QHDQJP5YiVdvLUnlvTegyPc/bZg5hXhhU7Lh92Wazdqct16EMOzWAuWlifsGgLWog0pvBZ1BF45GU6wpPezHLMIg1Ws6tSSMAmlgTmhvQta0WefPINyiRHXEn5TlQ91X+ZqSS2gXBfIclnXcy3zY5I2MRkTysgE8OT0GstLGYNWYer0NvA2Q1vfOJAE/nbTQ4NY2JAFadxsiX4qVn2TWPZQxcg4bx1L5lsZlZhzvSSshLYgbn1qO7iit58ZLReFFTbeMEXLKsFlZVim4hVcTc/x5ErCRXt79Ah726jRi7TprbSyhxgwNP2ybWOhb9qmbdqmfU3aS1voSikbwB8AeK61/jWl1H0Avw2gC+BfAvgrWhtayE9vlaURhzl+5d/9t3Axkxik35OTOT25RPRETrDRGWtsZgkCMtNiMsRCBPAonxtQw8KFt9JaWNfiSMkwXNfi2CJR4FW0OLpMwN4mLQ6lX8jMAqLFYWCKb6wWx1TBcuwb1+IwwpjrWhxEaaKzRUuVZfZqUQmLkENTps7SQLhCiXIsxjNcz1iuz2jk5DmmJI6oBa32ibMqgnBF6Goe2whrNG+ZRA1CB/OZSWTLZzROkc+NbK0BCURwWiznuEPlzf0Gtu/KHG0zHh7ULSjmdGoeC6rYEyiLxVzYj5kDaDJOc1vGPrqQZ6+gkTN2bzSLHFejzgRfa4vJcMtGYAg2THYuLsd4zNxUFIt1nBS7gCdjdujLmDlVgYSJ8yUlpK8nFi6find6+pkwmK8fPUN5Lp5YryXrdnevi8NjSYoebMs1dsISDUvWiCrEW6iyKTyH8XKSl8IygE24YE4SU7gIUJtxPCbS7y3CK2vaga245pnDcAIXAQEOPoEDTqCwzEiKJEnybDiCzdxh67HsNfvdA+x2xONv1eRn9vQ55vmfXAz9bwD4aO3//y6Av6e1fgfAGMCvf6U7b9qmbdqmbdqNtpey0JVSRwD+HQD/FYD/VInwwp8D8Jf5J78F4G8D+Ad/3HVKXWFWLvD2z30D7YXEjjLGlEdeHWe0GAck7GRFCpuIhMJU064UPFqFHpUAVamRGQt9TYvDvqZWxpoWx25NrJlX0eI43hZSyW3S4nCNLsaaFoepVv6manGogQXH925ci0MzNr2uxUHHCgEJH62QXt00RchSek3qAPV6CvmcuhxTGVsdJ1gQdZXREk2UxtwobtKizuIEMREQP/kXouBZ222i1ZaxPxJjEzXPxnQs75GSnDOfpFiSDLYcyO+SuECHaBSfOQl3x0cohiq2O/Ldpl+iVgqcsh5kHJ8FSi3PHxMiOC0aGEaE6M7lfa8JAx0NR4jncl9Fz7bZcrFLqQxTf8ByNFQh/Tdn/H80STEige3ZRzIWCUosCEk9HEh/Hr+1i5zlIeNUnmM0yHD+ROb35SOx0NPLIVxTivGQZKKdGoId5lvaJBoGOdouvQqLOSgMEbvydwYxpjMPeRLyvtKPybSGiDDN9JrQ46cS+x6OZ0hJ+KofCaJm5+4utg/luw3KLAQ1hVFEHaq53P/qcoQR5+M1FUeXJ5e4emoKuNATrsYoTVX3l2wvG3L5bwD8ZwC4+6EHYKK1QU7iFMDhl12kqRz8qr2L/3b7dzAOZABtJoGsow4wEzfR+pxYz3yM2UIm0NERF3P9heC7S1cnzyroORNIa1ocLnHW61ocTiQ441fR4ugeEx52i7Q4ckIDv6DFwcTrm6rFoSwFqx4g/LM3q8WRXsp917U4LDKMTRK43pJDOytj+AuygGtMaNcUfE82ec0DLU1TFOxPm9hv37NRsoDBnPLO8+EYFsf+gx+K0JO731klsudTMhcdhQVr3JowWZVbKyG1iEU6ijyHy8IbNYb2/K0AXk36xScD1csTdN2HAIAGZVo9O13B7AyUc5JkWIxYeGQgG9aEc38xniJlBSsSWtFq1rFLOeX9O9Jnyq8QKEnKGrx84yJG8Vzm9/lcDohHnw4wruR6D3lo/Gqrs2KtUt8K82GKEQ+wmO9vJSmapnIYK3TptoOyzgcLWZPXU3BdAgHIebHcGCNlCtyI8ZYX3qqa2CySfWUyU5hP5fknE3mY9z8R+efL8QIJIb37d2Tru/+9b+HOuzKX29SocsIKKeGKSzJKz0/P8eRjWaPP35cDavRwhMWl9A9i+TzsN1fz8WXbl4ZclFK/BuBKa/2D9R//lD/9qbWSlFK/oZT6A6XUHwwGXw0kv2mbtmmbtmkv317GQv8VAP+eUurfhhSzbkEs9o5SyqGVfgTg7Kd9WWv9mwB+EwB+4Re+o7M8RqZSmLPEVGovswKF0Twga86xfdTp5jY7YhU3Ww3YDEeEtNarqkJnEZr7ARAtjpg6H+taHJdXkox4FS2Oo7tyCt8mLY40Iht0TYvDYhjkTdXimDg2bMe+cS2OsSXfWdfi0KzMruuEblZiQdUrCx0WPlmM5HN+UuDRiZjNn0/lvYbWFvxtucbR4T0AwPbhLqyQoZlK3nGRTPHhP5H3GezI+xSnz/D8VPrq0cfiNXTqW2gFJizAsMjyAlEkRtGE7ki9W0d3V/q7s8WwX6eJc47KFed0t9fEW87PyzvydxGyVQ3ejMSd5dzD6Zmsl6cPxVKc/nMpCzj/4CNUc/Ea2oSQHt9r4sHbspYOdmiho4LfEm835Vp+q1DYecoiJxeybj75/HPMfyzbxvCfy1hUcx/felc8MpN4Ts8uoZ7KG40/Egs5Hs7w3tvvAQAeHMt972z1UVMsxsG+m/hTxLH0/S69li3VQW1MrWhf+iyt6sgyCRmpBeHLVwU++Uzgyv/XDz8EAPyIdXKb9/fw7i8LeeubvySfd99tYrsr49LwOC9VjsKENl3p48Nv38c7P3cPAHD5gXg/J394jocfcj1cilc+fPJ4Rfh62falf621/s+11kda63sA/hKAf6a1/g8B/B8A/iL/7K8C+Kdf6c6btmmbtmmbdqPtVYhFfxPAbyul/ksAfwjgH37ZFyqtkRUpMiRQ1GZQhVg9yTzH0iSYGDYK3AC7fTnV9g6EjLDVbcAP5DutDnXLbYWEhRsUE6UnT5cYsCjGuhbHJU/YV9Hi2CVc8TZpcfDxvqjFERuU6ZupxTF834PnOTeuxZETMvtHtTgAQDMpW1b8XVwhYmJvytj38+sBng1kHi0V6eQHW2gdylw9eusuAODBe++sYqk5xPIez4Z4/L/J8x1+710AwPUPNOa0GM8pK3E9WmCLchJN18S5E+SmMkLOqGcGaD5/SVq8nmioJmO4K0hdDUPKf5YW4ZV5iflS5k1iyEvjBOefS3z+4hGLaZ/IONmFjZ0tWYeH+2KBHx4foEcVzi7XRaPmQRP2WVYG8ujDJnOu3TEQzSUuL+X+19fyDmefnaJp9H5qVCYdzjG+IM2fpENfuQiZdA84b33Pgk8aviH6eXYAi96jqd+cVYDWJA/lnKN5gJgEuwnj9E9OrnHyTPaCwUi8lZBJz+O3dvDgHfGe79+RveRw28JOQ8agocQjdosllMfiKZTMuMxtZA0qke5If/bvWJgQ9rpgUYV8UEdV/LFI8H+lfaUNXWv9uwB+l/9+BOCXvtLdFKAdC3lUoiIrMY+IQR5MMWcFHYuJJt8PsHMkk+SAxSp62wHqTfl9nyEPz7eR0bV0yU7sdeYYEge+rsVxweTKq2hxaIYmbpMWh0sG67oWR8FiF2+qFsfDwIPn2Lhzw1ocE/bZF7Q4KpOIk+upXPprPolxOZQxe3gm9/z49CmeTOUQqh+Iu3/0nTv45p+Rg/SAjM39vS3UGwxTOWJ8xEWA3+lKv/zKX/hl6dt79/DkM9k0P/uhhDdGT8YYzU3xA+L+ixhVLvOGeU1ou0J8KWM1+kxCJVZpIxsQy+yRi9FpIuOa04oAgjxFHPPApoExG6Y4owjZ+YlsYvlTee/OVgMHOzI+dxgKPL6ziy7DlvWezLv+TgfaMbwDeU7XttFoN9gvDJ3ZCzwh/v+Um93vP5ni8VSSxZOAv0wzzLmhsx4N2rUmHBqDDhE3ti6h2Fem4AwqH3kp902oo1QVFuoQw2ERW/x0MSfS5uShvP+PfvI5Pn8oIZfrmdx/95ffAQA8+LljfPM7Mt5378rc329F2PfIAdGyr1jLMQiow6Ulm3fqWpg2Zd7Udokii2sYDCXs5A3IeamFyOMbTopu2qZt2qZt2u1or1XLRSkbrltHmlSryuszEwI4HyOayOnWYWGEbreBfTK/9o4lzNDfcdFsykm7vU3GqOcgZzkzh5ZiWCuwH8vv17U4Hj8Ry/xVtDgWC1aLv0VaHJOhWMHrWhwlk4NvqhbH73ouXFvhwQ1rcUwJN1vX4jDww4LY53TCUMAgx+dPxPL90WcC+3s4PIdmsv7gZ4Ub8O4vv4tf/GWyan25Vs25hEUoqnYIc2zWQYIs3vsWE3L9X0T7SK5j+TJmD9VDTJ7Id5Op9JmTV3AqU/qNYZYox/JC5tIpQ2jDZwPUOFcqJo3rYQjdknGrlLGec2j2X8n+ia4TjJ7LmE+J599iUrgfttFrypi2aibs14JHVmRFBmrpxwhrYkpXHNvQjeDyvltUAc0WdXicIwHn4tnQxeiS7xPJ+3sloPluda6vbm0LKjNevvRtOp8jWci4xAtyJmBDl/QO6T4XqQttiYU8nMp3r6YZRufyzJ8SUvjRJ49XWip+KHvJAWGJd97bx+E9Kry2xLIO7RFaEG+pr+R7thrBJ6TYFLAJrSbcQO7vNsV8V6FGTvbtjIlvhRJwfxqg8P+7bSz0Tdu0Tdu0r0l7vWqLsKBUDeNJhsszsQAHz6jjfT5ElckJ1d1inO5oG/vHjLsdy4nb27ZQr/PvukY1TyFjbM3AIOHVUKNlvK7FYWKPr6LF0aGVWzeaF7dAi8MUgF7X4nCYbHtTtTh8z4JraxzesBZHjWO0rsWh+bMslXl2zrKBp8+m+PhziW9//EQSZIlT4v53BVr3nV/5JgDg/rf3cBTK77tUbtyyF3C1vKO25f2XdhMuYaJhJH8/cVpwuzJWW0fSj52nE8wvpZ+NWmjgumhwXCqyewtVQlOJdH4uzzy7uobHvEwcUdvfslBuS99qxpmVUnAJqXVoSReLHBmLpjisUt8nHLJVC1faPTb73XfdVXEQl/kCeAUsvq/NPJNvubBJgnOaMt+Pdi04jGWb9TOddfEx94HBUizVIi6Qk13bJGQ38IKVblLKvEwySTANmSxv0tsuG9AlyUOE2Baxh1kiz386kOd7ejXC9bmsyUcPJT9yMZzAqsl39u+IB3V0X+bq9n5vBactyUBNywopPfWKiVjXDZEwV5UzUVvBg7JNopbkvvkCM6qFLiYyz+slVjr9cocvb695Q1coKg/XwwWec4EPT2WgZtdTNIgQOdwT1/DB2wfYPZJB2yGCoLOlEQakHTP04qCCxY3Z1i+o25oZ8XXqdq8nA/kq1O2S352fyzvcBur2iGy/dep2syWT5U2lbisbsC2Njit9dlPU7aEZlzXqdsEQznAoz/7pR/KcJ+cDPCIKxxzu/Xf38Z3vSXLsm98VtnBrx0OPidceE7U7aolaRXw1K2RNJAgAAAgYDtGOhsswRI3zyG86UDy0CosSz66Neks2ApuidkoBITedmM9Xlhou+Qlz1qEtywrTa3mPlPILWit4DD85DDkhLuDkJmQkvzObrW2VUHx2tUYjNJIQzS0ZEyso4DNMZtlyr7qrURGTb8Ki3a6C7clYhW0xZibjKapUwhEBw5zX5zNcs0KSkY6OiwwODZF0wlq8foaiYjLflmeZz0toLX0RshhKGpdYDCTR+4wciKdXQ4wZfr064/wuKrQ7JuQrC3ur3VldPya3omTVoVJ34P+Ral2h3UJCIMRFRdE/tJBwh55RAuDy4QnmvK/LfajpWDgmmugSJ3iZtgm5bNqmbdqmfU3aa7XQqwpIU43pJMY1k3SzsZzkZZTCI2a3S/2Ng/0e2ltkYHZYE7JdwKP1EVAzRBUVSrJMdfVCiyNjpfd1LY6Q33kVLY4lIVTjlpzet0GLY8ESeutaHC0Kir2xWhy2hlK4cS2Oy7H0/boWR/QjsY4++kTG7MOPBK52ejnAcMx6qeQ93H/3Lu4/IFuYSWvlLVGy3F0OmVtxlkFl8m/LZzjC3QLoGaiGeEFB5iEiHi9L5NkW0QxxzjqxTEbXWx5aLPaxfygWo2tbaNAtXxJap7MKHi3U8YjeSFJiaJixRoY5LQDOn4qSvmWSwSH0t26KtZCpmmYuoOQdDSM7WiyRJ9TOMXjvNIJrmZCMXKsTuqhseiRcZ1MfCBk2abLYyO5hjPlcrpfExIinOSKOacFCLdfLKRJNtmcu8zdLZ7DpSU8IXAibNejK4NRljaZRhTnH9ILhjavJDHOuyYSeqHI8BEYyui6fJWHW4+ESlS/XDQkI8N0elpX0zwXXhVemiMkKpxOLUeFgNpR7nX1AVu4PP8TiOUtbEu570LTx7bdkHf4e/gVepm0s9E3btE3btK9Je60WeooMD4szTP7HMTo0306XIrHeaTm40xeL5cF7cuLePXZxsC/xdNue8CoX0AHL1xHqpJwQukkoHXU87OoZ6jyZ17U45ifynVfR4piPKPM7ocLhLdDimH8g/byuxXFMxck3VYtDWRYKq8TzWN7nprQ4mvfFul7X4oh/T7TnPiE559mpPO/ZcIyEZJ7usSTGDg530GqbGDbj+0WCcyaQc3qJOtcomWNwmLSew0VJO2pciVW6mEwxuJCY7tOnEis9e36CeClzqcmk/tZ2C3sHZDa/JbF737PQCmmhj+mtxAkcFhnxCHtbLlKEnCNjwoOn82RVBCZhYrWqctj0IDyLuZBcnsPL3RUpycAh59MFpmPmQMicTooxOtT7cam7FNg2Kof6RfxupUuUJOmVZHjX2xoB9ZAs5src0EJjS+beknDaWTzHLKZHzURxlCTImasYL8VSd2oBCnrhgSMecBwVqCg7bWLzkyhGQrlrlRt9oBpsehgVx8yQH3NdIWPOpM6yin6tgVEl88FixMAqbGQEBwyZM1pEGWIW2T7l/Dz79NEqz9PhXtZv+rh3KOvwZdvrxaFrBa+yML4cIE5kUhWsvddt99FhJSCb1P4cKThWsIkccDwPDrPFipNLw0bFhVOtUbcTDvg6dfv5tWxyr0Ldfn4qk+WcFblvA3XbLuR669TtQ25Qbyp1WykLSmlY6map28dvySJZp24n3Nje//4TAMDJhSBblOui1ZODokf0VVk5uJjIWMV9CrAFHaiKnAaKMI3DHQSgq86kfbQIkdDASC6kL6aDBs4/lIMkeSgHSTi4RmjJPfb25R77d1s4/JbIP+/tyPVqtQAOk5dlKe+TZ8CCifuK4Zj0/Bo+k21UUIAqgOlU5jLIkPVhoyL1fMw+cwvDAwDGIRnR4Pd8YIvAghqRRGHdQlRR258Jw8ESUDQOTLim3QlgU4PfoLXGqo92naGoUDbdzMpR+vK+jk3uQDpHEssznIQSivQWGmEuLzfmIZP7HlIeFlYpSWGnAlKH89DsJUmBYsZ3Ij+h1a4DNNomIfEPdgAAIABJREFU7ws2fTiWfWN7bxfllaz5+YcyP7WrVuHaiiGnvMxW+09J1FB+vcSULNyLD+V6+VmMFg2CXsiN/X6AsMvCyC/ZNiGXTdu0Tdu0r0l7rRa6pRWC3MHg4RmWhIlZLPiw3W1hd49JxiatQr+ARRlKm9oQrsK/wpYrMoWSTNEifaHFMSeedl2L4+NTsdheRYtjbyaJijHZj7dBi6NDl3Vdi+P4DmtwvslaHFohz29Wi+PBz8n4rWtxRHSHHz55JLfl+4RBDXW+R+BQojl5AYMs2nJPFx4ihn8KMp0r18MScl2jyTGZaSTMjz455/N+8BmefijPOTkVD09nBXodmQMHFGrb2d9Gb5uM6W25RxiGcFi1qaAccpZquIROrkIqSYaEPAvwWaZQyOjZpmYtQUHZ5G0wRBIrXiuKMDyXddOtyM70UzDXCNeVf2x1HDTopcSG6FhoKFNP1ojB2RZysj3Ns2u9hGUZWC7lkO1ChJUAlPR27U4DdfIsSia37biAphdS0bMsAeQMoRSRCYcUKLgAU1CPKS+Qpnw+3nc8nSMxITNa3upc/n/ZneKqRXlqwiG1ayNokKFKZmmpgDjnuBBLn08SJIRILgayRm1U6PcYaiZruFm34XtcQy/ZNhb6pm3apm3a16S95hg64GbA9PkApS2n5RZrVvZbLXRoAXokDDhNB0kplkDAuJ5dWLCphCeKhkCVOSgSWinZCy2Oa1ps61ocD4c8VV9Bi2Nri6QbxjZvgxZHP2T90zUtjgZZd2+qFkdVaigopNHNanHceU9izetaHCWtx5wWW0EdHj+sAKPzwj6enU1WcdZiLt9r9puYtCmXTDVH1/ahyEBdMn46niyxXMp3fvhjebbp9z/H84f0DCaSXG5aLna3ZZ7dpb5N/2gL/R1JwHX7JMuE4UpCOWdN1TQBbFq5Eev0LpchwOIi48JY7QlSrquUsWmEHhzqi7gBmZVM9I3jGEXKf1/zGp6Gw8SrTwKPc9hDpyFj5hLK6OhqJW1tdI+UtlDRQzdw4zxJUETisVYpSX9VDkUr2KWUcnDURm2baqus/+onJewF49R87yTJVhpR6bmsi3QwQcK/ywzFXGvUfHlmy5P5XVrAku8LwhDbU5aGHBSY2zJ+y1z6NbcseA32HclWWgEpv1syf1Yl2SpnoXj9TuCiTeZpj2qcDS+Ab5kCMi/XXvuG7uRAPovQ6lIylhtN0wnhMbu+ejjXRcwNpSJm2XZq8IiE0AbukdkoM0Pdlg4/P13i9JkkOdap2wnZd69C3b5MuegjCRvdBup2iyJj69RtkxB6U6nbZV4C2sZ8erPU7W0ip9ap2xnHNJ7Jp8OFmSQZrlnzNYopuTC8Ro2hkeuHfJ96DSWljh33Be1bQ36W0u2fLOaIKAnx6e9LmMX+8BkKoic6fMeddh3bTMJ2OnKPZjtAk5jnsGaQGAoWwwfKesEKZRQClmX0+SukDDksZzK2s8UCCQ9pkKEadLfQ2JX+CVkEPWXYb3w9WfEZCvIZhrMEDxniqmvOsbIN2+eGyTBe0fUQ1swa5saWl1hwY51MefCMFYZcB1eU2IjiAi6ZpG0ilPo/e4TOPVlrNUrRhrmCWjI8RPG/eBYjZrhv+olIR8/t55hdsjD60pDqKzS7YlDWaFhmVo6MoUcQpXTMcLCyLSzIIh+SezJLU5S8XLaQ6yd5Dt9g/RlWsgD4PECN7LVvaWgabykPMhtt5NlGnGvTNm3TNu1fy/Z6tVy0hqo0dA60AzkFWwz626kCoytIWC0njRTmq5qZ5oFDKHNqEQa1jCosmDBbMiny6UdnODkXl39di6P/rrjbr6LFEbOy0bQiw/EWaHHYLP5wm7Q40qSE7QDPqfdzU1ocRudjXYtjh95Cgy69zQRokieIh2R7WnLdMAxXidIxGY6WZSFhXzlMCDpeHYr3KsBQUhYjXzBs8WMJs9QvJ3AZctgiG7Xf7qBBL8HzydyshdhitSrXHfJeemWhG6EnpUrBJAKoDM67zJEw7LWgdR1XOcCqWg0WWggPdtA5Flhnkwn0kuzqxnSB5VCs5hmLfSyenuEZWcIuGdHl0sKUc2DvQN5r/7iJ9hbx7QFF1PIc42ta+kMJi1w9b+AJdZ5OLmQulEEDOwxpHv+McAf2v3OE3l0Z24yM0RA+VExhuJn5bCDm2lRkgmaXI3hkH5eUrnY9hT6L2bR3qWlUVwAx/g4/tzl2WllYsD+bEzKT5wni3ECkGWaZZdgCGcSEVFvQK3Ez5p8Fr8/xy7m+i1IJm/crtI2Fvmmbtmmb9jVpr9dCV4Cy5RQJXSq4sXZjviiQs97kbCif180ZIkVJWRNvtSwEtMxzVtOeTjNcz6i1wsTDhx89xumlWOjrWhz33xXS0KtocShfrCTVYCz2FmhxpJnLMXihxREt5N3eVC2OKEpg2Tbe/9ETeZYb0uIY0+Je1+J4wIRMAGOpy72SzF3FNBUt4cCz4BuPh7+rshIpxz6l16QtG5UyXoDxKgHNeL19Lkm1Io4RMhEXEvIYBMGqLqYhDnmej0ZNxg9K3tv1FBSfuaBHpJRaJW21VqvPJZOhMT9L10a9L9fbuisWdf14Cy1KGDf3ZO1VjKF38xrSqfTjiKCCsyrC7BFrrQ4p/zpPUfJ9chLaKsdGXFDzJGRX5MBkKM88vJR7PHo0wVMS9qaEHvaP+7jzswI1/ca3BWp7cMdDr8/9IpZ1HrgNlPSAx4zXzxou5oW845xM1tIBlon0n80EdqNZQ5vy0f2+PHuz34DH63m08ssF4bfKQhgzZ8JiKI15iiUT5z49DltlaC7l7yKumzRNUZpxIS64dJ3VHDHM1ukyQrj4alv0a5fPtSwLpQZsuqDImcyLCxQMl0Rk4Y0HC0RMtsXcpJKqgmuYdqY+5XiBcyaVpkxcPTs9x9mQzL016vYBqbSvQt2eURDqNlG3vVzusU7dnk/ZZ28odTuJUyjLwsefSJ/eFHU758Jap25bTE61GQLsdyXhBhfwuAF5PABsCwCNCW1YgEmOq0mP/cOEW7lEZA4D8iSq3DYwZ9Ryj/1TrhLEFTXv8ypfhRkrGjBVBmRkCxvxNq316oAtDeKpLFdue86DPksLDDneI/ZZYQN11uXdYYKxdW8b9WMJv3Qo2qa0vI/v+LD43nNq9x92Grjsyt9dfiLgg9HZNU4ey3pIyAtZ5jFaI2LnawwTarUSqZsQ1//wyQDjWH7mEUV29PPHeOeXZCO/f1fee7c5wBYNjMSTkI8fdpBoeS6b60dZNRScj+D4JVWBSMsa2iNi7eCoi/0DOch2+Lm120CtTZQJN/6IY6ZLjYgJdJu1iEMvQ+gw7sS5rRcZlnPZY1KihbKqWoVGFPcXnZQYcQ8D19LczlD6G6bopm3apm3av5bt9VroVYliMRFsJt3Si6G4Sw3HQnpOsa1CrKTTRYr2KXUkahS4cV0YQldJydhoWeDsOSviPGVhgovnUHRZ17U4SuLAX0WLY8YqOMYivA1aHMxnflGLg8bHm6rFkUYZtKXwMasc3ZQWx/aeWHvrWhwOvZo+k6hGWrjVbaK7Rzgb3W8U6QqWVhF2h6xCcE3XOpfnGC/PYZHBm9BKq5SNhN5AaMs9alsuUuKRC+KysyJHwXEsGCKJFjEmlGTuGEsQCli58gZfXiBJXuCwzedgTPjegjhv34FXl3fqbLP6/EEHjSPpgw4Lrni5jGMjbMAh96MwGPluH+ctCdf8mGO3nC3w6KF4VZMFC5vMG6h3ZJ6bKjyB66Gih7PkHBxcXyGhZtDWIcMr39zG3tsMDbX5/uUVOnyuhP3tewXmZLW6mjjwqlp53EuGxGaLOdyQ0GQyb4/u7eKQ3vPOrvysu9OE3zSgDHpOrNCVxQUmrsx5kANjJzEszsuUPIBERTiPZG8wPAGl7FXSXTMRuogSxPSyZ6w73LVbKH2GJV+ybSz0Tdu0Tdu0r0l7zUlRBcvzAQVMGMcDwfnPxyPMWarJZTItdQp0AsKKyFqzbBcpg4tFyeIUSYFLVpC/OJfYnXZLhIFYmetaHAwHvpIWx4gaLlF0e7Q4UmqVrGtxpEz0vrFaHAMp1kbD78a0OJZdsejWtTgMaerwbVro+7TYd1z0TFk8WpbKCpBkMrZDJliH1zP0GK/3Z3Ivq2iCDhEysnCTIsOMeYykkLHITwr4odxjuBCvqopzNAgpPA/lZyossFdJDki7cv/r8QwOLXSLNVWjcYrZgOX65izxOI0xLVnkhNam6/dg9ZicJyywcRzgzq5856gj913SsmxXS9ToNaiO9MXTIgFL5mIPDwAAZ06Jqw/FQj9ngnrxKMJxy0BcZZ4tVYwFi9Aklcz3Z3GCew8EmvjuW/fls9fCdiTrqlsKOeibuyX2jKaRJx7cp5NzoPVtAEDQkDUXD4AkZmlJztvT66fYc2St+02Zg62DNvoPxELv7sjPmi1vRdAyXlLIayRKw9qT91hQnMcqFLySyeBnsh/lmYbFvEi4JfvRCBU0SW1OQ67hKEuIdABOWWs3nuWYPJT3ftn2esW5bBuNThuwgIR3dsmqu65yzFl70+FAzcoYPWbLjWSubbsvpHJNZZxKYx7JBF6nbvshN8A16vbsjLrqr0DdvmLFm8WSBZ9vAXV7TBGvdep24nGze0Op25PLBqqqws4DQSbdFHU7GlDLe4267RKPvEM3v38kfdjrd9DpsT9DE+uywVwfXMoM+36AJZN0rmOQRwkyIpLMxrVMs1VFp5Tz2A5clDx8TWKzWMxhXciGOtPEY/sVWl0Wm+WccaBWFZBSHvTpssBywVDTNZOO4zlKhkscMqHbnS76rEHQpXT1VstC3ZVx87mWaqzp2qgs+IZ5ygN/lgM7e0QzldIXg+ECai7fvT6RROn8YoiBCTlQrEorYLSQQ2bKOeM1XPhN8ijIMm1vh+h0iT5ipMlbzgGi0fyakZOoA45sykvO23pVQs8oLTEijbNQ6O7J4bLVl8/2VhtNMkTr3GzDug3LNgYL95DU4McVHCaybQIHLFTITSF11imIsxgZx9SEB8OaB2eXLFcmlB3Xh0vki7cl66IYXSM25c5esr1UyEUp1VFK/WOl1MdKqY+UUn9aKdVVSv2vSqnP+Ln1le68aZu2aZu2aTfaXtZC//sA/met9V9USnkAagD+CwD/u9b67yil/haAvwXgb/5xF6mqCrMoBmxgruUkC5l8SvIcFt12I2A1zXJckxFoEeaoKmVIcKvkXKUqlKWhqfHFGrVVQmhdiyMgVvZVtDhGc6MxIZbLbdDiGF+LZ7KuxTEkdv9N1eJ48n82UJUV3v2FnwFwc1ocit7MuhaH58t77t6VEMTRPbHS2u0GGqx5yjKmEgZieCNgP9UCH88S6ceKDOLF1IM2BF7ea5GX0GQJWi15TtWsQ1uGW0ENkjJBfC1zdEgOQaIqKCbTnFzsp363hwJGa4WJ6XGM6dB4YmJtJ4vK5M1huQxFtjvocI50O2RJ1lLUbSacM/luz5M1GCqAjgQqS+Z0q+Vji/8uyM84jPaRMxmdcnyiywHGU44V43iWVrIfAJgTblw1KhSMi2aEFOdeCavO/nZoPasAIOs4imVv8IMeHMh+Us5l3ItJgvkF8fEDWQO+5aG7Q2gmYZvNToiwwdAaMeduaEFZBsIs97CNt19UcGm9m0R/WaaIEuoxMeE/y5YAdZRCChHWd7to3hMARLgrc9/x/ZWuS30oP7t8/zPkU/FKX7Z9qYWulGoB+FUA/xAAtNaZ1noC4N8H8Fv8s98C8Be+0p03bdM2bdM27Ubby1jobwEYAPjvlVLfBfADAH8DwK7W+hwAtNbnSqkvL35nKcB3oA666FLCtHckX3OqEjbjVB6TmMskRUGLslzKiZ9NM+RUUkuXTFimCeAyvst4sO2ESEwca02LIwzltHwVLY6EseGMFsJt0OJokFSyrsWxIMTzTdXi8GouyqLCNkvG3ZQWh1amKMYLLQ77fcaJ+wauKFZ2veHBJ8RNsxBHBQ2bUr6stoeiZqFSMi9Kep9Zlay0a+a00DNbQRGm2qACpL23BcukQJgTWE4niOgJphxvfT5GlrNOLhmG1p3GipxyQRnmRVRgzvVCgxGq8lEwhu0QaGD7AWyuG5vxf19lCJlv8AkH7NkSB/eqahXjz2wWYFFtuCQKBUrmdn07QIfFaiZX8jl91kCxkDmyJOTTrhw4VE7dCmXdVJaGQ42dGYk7F/MYvUzGxbVkjPu+h74t6+vZWK5r2Vu4imT9PzsVy/bs+RLPWM/2mntJo91Cg/myWpNM0NAxaQloesUV1KrCS1mZBD8T3shWDF2QaJflKaaRPMuEOYFZHqPWk/m7dUf2vPq9HbTfEU8wIEFLOfZKI6l2TYveAWbPJHE++Gcf4GXay2zoDoCfB/DXtdbfV0r9fUh45aWaUuo3APwGAOwfHmASzbB9dw/db8gL7b4rSSjPAgImKn1uqFmuV0JTyyvZJKYnI0yfyMQdPydKYBGvJnXACdrotJDQVV2nbq/qV74CddtohNvcgG8Ddbuby+Rfp26fsXj1m0rd9jyNwrbQ3rtZ6rYyOPA16rb1sYRzaqZQdyDv5QaA5ZpFzZhF8YKduRI7Q44SDBeVDAVEEWY0OiKG7HQYwmKCuHmPobH7+3AoxmZTNW0+HmHwTJ4pGci7zuMci0cy53sw2vA11Bkumo6J3CoVUla3KmPDxK4ASif7DAu6gQNtGVQR0V6qQJ2ick0+S8+Wd7B0gaRiaITvLVNW5pnF8JbtWtiiMXHVqvFnNjK8YLcCgGU5sMlmBpFeLXsLfioHQzmR302GNp7vsUZoQCPFKtEs5e8yJT+zqh6ejuXZPz2RMNFnjwY4oeEyX8r6bjcbqBEwEHhkZDsubM4LI1xnMOLywor9RAGtrETOGFZOAa1oGWPKKmUzIvYSG6h3yDegobF9fxvbRNT4PXIbbLWSQ4m6nCtbDzDYke++/9/hpdrLJEVPAZxqrb/P///HkA3+Uim1DwD8vPppX9Za/6bW+nta6+91upu86aZt2qZt2p9U+1ILXWt9oZR6ppT6htb6EwB/HsCH/O+vAvg7/PynX3Yty7ZQa9fxnV/6Lvq/LBZb712eVF61EkZStAq1VoiZ3BifiFXuKQ+WgbAzEZnbM9hMTDQpvNHv9kGU1he0OAy671W0OLycMrPV7dHi8E1oaU2L45DhoTdVi8O1KwAWwhvW4tAcmHUtDofY/RatKdtb8tNeueJmXpa6gEWLTRG2iaqATQvLjOMyShAzMc8pAL9TRzWV/mvdI+757T4cWu0B8fLJooOwKxN4/oy47ecTDE8kfGAs0Kz0sE2+g00L2NIWMorUJXOGfEZzMBqJkCGz0HdW+HsT4vMchRqfpUHvtMZQgHI1QK8ro2XvKMClt2CSerZy0GASU9HcjePlCmLapodQ83yk1HJKKILnDAOkzLymnGfT+xGmbekrTUhf3nJgEQrqs7qUzkKcnMk+8eSZrJFnjwcYPJe+qihpW9veQkCPwDfy01CwyGtRZKBbjlp5cxXnTG7YuFGOaCF9Fk8JTZ3FmPEeEb147QVQ9FKCnqy3rf0Gdg5knGsdub5nF2j79Jba3JZ3Agza8m7/CC/XXhbl8tcB/A9EuDwC8Ncg1v0/Ukr9OoCnAP6Dl7zWpm3apm3apv0JtJfa0LXWPwTwvZ/yqz//VW6mlILtOti7s4f+XbHY6sdiEYWBhsfTWjMmpeACgbE0CClqBQhNIjCUk68I6mDIF11ana1mHS0myb6gxUHg/6tocTjUN3EKJlZugRZHg0mndS2Ou1QUfFO1OBQKADZyqtTdlBaH8ZLWtTgMZNSU0qsg99IKK+9rxcAtKxSmJqypKJ/lyAm7jWkdL+YJUpbj8wld6x/2MRjImB1+S7zUreMtWPQg6oQyVnmBra7M73hf8kfjhwO4tBij59Jnjy+uMaWCZZPxYFVqaFqIGUsY5ssYhWLykHKyjqUBRVgeE74lXiQ+cyZ3U763VVkomdtRKxixBYsS2FZBxm/hYU6Z2dgAF4p0BcUN6ibhHMLl2rBI2EmSHMVQ5hwyQoxDCzYZp+G29OOw31gph+a8f1kucX0u8+v0c/kcPxohv5T3bvLvmrle1fcsmBjPlzmykB7bKlLgGM7WF1jcABAtEixYem7OvWExT7Hk9UpurVZQQ2tf1lfvQCIA/f0m+j2zluS7QRljO5C5YinmQkIg+CNlOb+sbbRcNm3TNm3TvibttVL/tWUjrbWx/6cDHOx+DAB42xcoz8Ip4RQSS615YqV8uAzx9qFYgz+6lN/V92sYP+UpvZB4YpldoNsX62xdi6O/I99d1+JQFjW/X0GLY8kMdlSwCPQt0OJoV/Ke61ocTwv5uzdVi8OybZT5zWtxJIzrflGLg6gNWsB5+SKvQWDDqhhBVenV9UyuI00SxCTHLGgxL+MYJWOvQZ1SAnt9zBgnP3xLxqzVr6GgZ9Jsi/VsWRaaIbW3t0gc8tsoqPD5ZCHqkbPRANGCchPmZbMMoUsvkrBb27Kg6UWlbcIriwwVawUYbzJNc8SEkS4Kjj3np6OBnF600dfRGgDhxuaHOtMYUrYgI3HItR14IZEl9ILChou6K+PYphewTB3MpmKZD4eC6Dn7wxTJQNa6S2JebbuNkpT7tLPH+xbIiTJZ0lJPrhawmStpUNupVQAx5QBizu94HiGmFIZJeOjAXXlnK0kGvmqWVshojaeRmQP5StvIKJ57fg29ffFUe3u01PsNtJpEUdEaD/IZalxLNqMIhQck9Te4wIUFoKlKHDQt3K3LBDr2yCa0FLQvbq5Lpuie0wSoleF5hKxpIOUkVHRTW702tg9ko1zX4uj1DRtsTYuDeiSvosWxpJud3SItjkZl4JovtDhYH+SN1eKwYcHWGnpG1/+GtDiM9sa6FoeBquUzcffLSh7UqdVh1rnB/ydJgoyH74TCTM8nU3jPuZEv5b3O3QxLFlK52xbDZbezj1NCa1v7MgD3dzM4TEo65XP2cQ53l1o8HenHi8BH2L4nP+vKQz37fo75B/LME9a79P0SQZ8JWsIMk+nCaKrB8ZjoTsaYTYldH8j7xG0PxR1JTI/Ivg5Dw4Ct4PjyO1QMY2IHzoyJw7mMz/DZM3zwE0lEnj2V+ZHkQGNH5mjvWNbo1vYWFOGaGXkcu8kUY1YA6k5lo05ijclDMp2ncpA5WqHBWrjToyfyu2WMlPj7kGupHpXoVOSVMDw51CX6pfw7o0z15cU1ZksWaWlI3/UaLdTITLUIn35M4awiqXDB9X1NDkaZAYuEFmDAojZHfTiBPFOdcwHQsBZynbt1+ex7A7S4h1Ss4TpePILdPsJXaZuQy6Zt2qZt2tekvWYLvUQdC9yp53jgy4l7j8mnFEDiyM8MRGju9XBeyQlpNFUWyykGE3HfU7Iod/st7PDUX9fiaNNiW9fiMMXuX0WLo2BoxmLptNugxRHyPda1OFok3bypWhy6BHRR3bgWh0lwrWtxVKaO45SFT3q0piwPdc7HhIm7bKGgWWIsvaZHNihwzeTYhAn3NM1Wnpjfkus1ui3YtEpNGcTQXsKn6+1b9FqsHA4LYKSsdRulHhq5/Lt3RzzSeJgjHzFR90zmW6lzWBwXxxDjbJskIKCYcX0NI2SUZNax/F2xdKBZZq0WyJoC6JmUC1OYHpq1aSurjyUt4MlcrjG8ypCNxPIPmJytN5s4IOSwT/JWpxPCqXENmXBnWkd7i2Qso+sTVVhM2LcDebYsyeGSsDe5kvlRJglAeHFRGUanA5/bnM+krReXePhIwnzTpSlhuECNcEGzX8ybMerUdTKQRqO6WuQVGChAwXWZxAVK3t8i2SvwQtgkGFquLD7XU/AZBfAtMnSRwyN50ZS9bIU+KiMg9JJtY6Fv2qZt2qZ9TdprtdCVLmHnU/ScFNuWWHstJhjLQGFJckHC4ss1O0Oe0CqK5NS6vh7hggqMivHBoN1GnaD9dS0OEwtb1+JYUZZfQYvDb7VX9wVuhxaHV32RvJTZHdhKnv9N1eJI0xxZWt24FofF3MK6FkfGvn1qYr4NsU6jyEKd0L5iRmtpmkPNSZgZMAY8dnHNORpFvGeh4DIBGrC4QbgdriCKbkCoZDVA05F10IR4ITU7hu3J+Mw9iSXPum3Utbz3USmxVVsHoHwI5pxn+SRDQSVQhxr3vltDq2IBF9YdSK5iFCMm4CaEXF4XSHtyj4oJyMqXvoijEEsmSHOH461aGE7lPS5PmU/4dITsTNZonV50v9XA/UPWBzgS+F6r10BgVEIb8mxN11pR6QuS6spMY04S4dW5eCGj0WxFvbcfyzNd+S4m/K4BGFiLEiXzUemIiykuEDNBqxW9qcqCP6XaYYPghI5Gi3BTi9azSdBXhcaStRQS1kVYzmNkLEhjEsChX4NDTLXRdAqcEiFlEkLqR3llDIdzVNEbqLk1fLUCdK97Q1eAZSk4jgObWW2uLVSwoJkMrbjZ5tpCZkpmEi8+HS8QM6vfYcGB9lYdtY7BhL/Q4mCi/4taHIbB9QpaHO6uLLTm3u3R4rCIj1/X4jAu+JuqxRElJaIku3EtjjwzxTheaHHERCx88GNJuoGJ02F9gcAkq7hJqiiDl5AxOZJrLOYWlinHlCE2Hx58LmzDWHWazoo9aRNf7+sRGkwQdxV1baoZdMlCBzYPI6+CSwx3n2xYjX1cDuQ6w7EcBikylENT6IXYar8On3PFI+ZelTk0+7Sa8XMeIpvKs8455xvs66psAGSRZuRgxAkwei4nyvSExszjATLO+YChts52E4c0Eu5Sd6jVq8GnPo/hUzRCBxYTpI4JkJYK8ULmysW5bLDPz0aYjGUfqBRDREWGAZ85YugseT5GRNRRxY3SKSosyZ+oRkSRLTMUDBF6vvzdVreBFue/5xjWrIyJLiuURLSY0NBiGiNj6LHVI/PXeYGUMWx21ykKCK31AAAgAElEQVRX1bxchlttVUKbxDznbWU7K0buy7ZNyGXTNm3TNu1r0l5vTVHYgN3C0m1g5oj75dAKWVYWSstgYsXFG0x9zAZUL7uk/OuaJsXuNtXLdrpo0XVb1+KwaU2sa3GUtFRfRYujeSAJudad26PFoVwjLPNCi4Oe/xurxZGkJdIkv3EtjoS44XUtjjiSa3/0o8/ku5diKfuhB4tjWpliItqCbbxJWvnZMkd5TUw+SwX6hYUWPYggNIl0BSPc6THM03QVmrTEmryHrzMU1KtJGYZpOD46vqkWLyGPYtvD1lvSt71zSZQmcYwF2cSxCVuoEpUWS7XFRKTXVKgp1n8t5f1bVgM1zdASyx9ymBB4NfhMyFtE5yXXKUqWdbQGcs/aYo5BylqvDHe6oY0Ww6L9I66ffgCL+iWW2Ymy0Wq9UhkZtrJAAVYkHO+p8jEn21pHnL9VhcDU4LWl7/LrCXKjsMqxCHs9RLTQFa3nKEowm7H4Cz318XiJ+hZLMTJcsk8WdJUXcAk3TsgGTpbJijlsvF+dZyiLL2ZPVVkCqxrA1CfSPjKuQ0pVQekmZim1iF6ybSz0Tdu0Tdu0r0l7rRZ6CQsRargoQtiVWOhjWlXjUiFgHFilYnE8HNo4/1xizuePJY46vhiskojdLYn9dtp1+DxB17U4DORwXYvDxFVfRYtj/x0W53ggn7dBi8OiZb6uxaH4szdViyONCxRxAdywFkfEpO66FkdltOaZeF2eynyD6yGndZ1xjAtLwdhCRhtfZwXaEa1wmrS1GtDg37kma15pmLBovWTS3mogYIzWdajnoQt4nL91em7bVgrDcvKpAlr6QLfPsofU7pmdDuAydm/TUs51AeZs0eY1PN9eeajaaBstczjMDxiWaUzgght6qwIPIfVw3OsMiuQ3i3PFLWIU9HZVnTDdbhMei4I7JPrZLQuK76sMfM+K4BkLnaUOlQKsGqG6hArXYMNl7QGbSUdrEaG4kHmbXdD7iiPkuTyXxyR0EpTospC68eCShbPyQBdUM42yChkTqhY9MZ8Z6DROUA/NNQg3zAuxvuV/eN0ZiqVEDQxJMU+AlPm/yJdr5OigJER7Roi2Z/dwXRoy0su117qhV1BYwMblUqPiqDWJfrguS7Q4cd1EXvJ0kOGKCIfzp7Kxj65GqHNTrnEgXccCtEkuvKBum41tnbpdVYY5+P+fun1wXyjb/bdkQ78N1G0TmVmnbpskzJtK3S6SAlVewr1h6nZGCeF16nbAxPS9HdZzvCQSBMDSGAGlQTgUKLlRalKOVVFhmbEOKZ+jE4RoEWVi8e+zRQRtaufyQElcBzE3Pi8g8kiXsJnAdpnE7KoMHsOSPgtwRGmKFmu9dojDrxwbNg8IzfDcdZ6A5wcSzd/FBeZj6b/nj4WxqJIUAVmRPY5VGfJ5lxnqRLTkDFslwwQxkTKzqYzJ9WyGgrWC7Z4YZ+HBLtwdCZHmdW5mdrY6wExIqtu04TGpDxhGdgmQvxDQYPItG46S+dCkJMX4yTOkJ/IeOWWdgySHz/7zeUJWTgaP4UCfaJ1a4K7Ci+5c5nmCEjFp+Ekqn02H824+B7iH+DUmjXUGiwZWZdbe/BqtKTf0BTklsYekLs8y9+V3urKRWDL2ExD0UIQYxF9ti96EXDZt0zZt074m7fXCFqsCXjRA8nsWHm2LVRYRB5olKdptOcEHPF0/OTnB4Mdi2Y0fCf50a5HhDnHgHotfRMMYOzssTrGmxeFQI2RdiyOh1sKraHHs0GVs3CItDlM6a12LowbWc31DtTiyWQSrwioReFNaHEUifbGuxVGjuNo37sv41AlXi4oCU3pxC8MWnkfISpmj4LWUrrDkPAuZjG45Hmr0GI0lH83mKFfhHZlncyeHtfKSaJ3ZPnzCbQ3LN7AyWPTEHGYMn6kcoW1KN8rf2VUOj5MlsExYrYAViiUbkyeQ5gVcci+iCYXazoewE3mRu6yBqe8Qi53HqBXEcvNv4nmBOT2oa9b6PZvMUezI2DsMi9Z2+nA6hKly1ymrFHXGn+qERoYKsMjuzSkeV+gMOa3WnBDO3HWRMflfFPK7ZZxhzpq5ekIYqOWi0ZW9IdgR7znYbSFgJKNZp8Q0Guj3pG/H9NCn8RLXiakRKp8ZGdRxHMNnWMkNXkCWFcOIFSMGabxAwT0mo5Wf5w4S8lFiMlpLuFhA9r+RJXNPxzGGJk72km1joW/apm3apn1N2uuFLVYaKtL4+AcfAPtinSUOT60kRq0mVviYlurZ5QXmLAS9ZLLKyQsoYpxsWl+FdhHHP0WLg6SXdS2ObMGiy6+gxdFk4Yxmm7HkW6DFkdCiXNfiqCxJTL+pWhxaayioG9fiKHJT6Jf9mQMu2YGVKAhjpy+WZRzHCFdl9uR7jdRCHtLazMm+rAq4rnghBoM3TTSKc7HsuoV4bu4yhiYUdfxDee/igYbTEEvRIuTSK1OEDZKHGFNexDFcV+77WSIeVEc18daFzNfmXMbxR3oHPxiLJ5SvbDYLKXNTdcaNHVfj6VC8lIQFwxuNGuaE6n7+oRDjXBZoOOjvsLQLMGPiO46XKznpqzP+fTlDc/uu3KtPU7gdoCK5KtynBxfkaFTSB34l75O6D+Hb8o4KZKrmCjMt3uMM8rxlZx91V+Lz7gfUmrm8QEQmaTqSfg9rLXSOxVtoMSHf3+uivyXWeEjPwLYV6IBhEbOQ+izAybk86+m59OPSI8PUrmHOvMjsQp6tUWvAN4AEWvnjZIG3B+8AAJ58KNEG1b2P9u49eXYqqLr5EqNU5s+8lL7woruYPz7HV2mvOeQCqEWF7//O/4OANTALw+LMM9jcvGJ2ymA+hTqTATIVgxqOD2UkcInSWMTA5ZB1Np0X1O0oIpV3nbrNDf9VqNtBh4Nwi6jbcST/XqduV6T6v6nU7fnEAkqsBI9uirptkCnr1G2PCfZjhpOmxDHPZg4K4uRzoj+KaImICcC0Io/BVohYcUoR0z3LClgc3GEk83KGxaoK1TlFx7JQoc+DscFQmxe2V5yBgvITWV6hNIikmbz/YlhiwA3lyanMmafDAcZEr9S6lMJotrB99x4AYIdhkEbdw4ybyCUT2fPZDM8pB/ucxlSbmPari9GLEBLDCCgr5ExeJpSstWDBZQjJI8zI9T1UDAkl7J8sX8J25d91IlrsrITDcEXBQxilAxsyz8DPbAEsr2X+jJ7LO0wupitUikfQRbfXwjYZqm1u6NuHHRxsy7UDxqmUKpGTF0BgGdqRgs/kbqMtnwR/4crPEDO8M89M/d8SGdewZeqwahtpKf25OJd3vP7DFKcRhe4o+w3PwRnve8b9JyyuMCWC6GXbJuSyaZu2aZv2NWmvOeQCqEzj4fufo8HEI3OTsCtA5wZLzRBJWcAjJtQkgxA4mNN6HVC7YpIkGBK+dnFFnpWtMKwTurSmxaHIfnslLQ6XEEkmLG+DFkdFZuG6FgeNiTdWiyO+8lClBSJamzelxWG4COtaHEY46ehY3s1nEs6yrFWl95LZvGiSISXOOCKszXV9lHUZb9OKKl9huK8Zclo4OTK66p89lbCF7YWYN+gJ+SaE4yCid1QSTpeXgM3QljuW/pyeTPHkU/F6PmDi+elsiqLPCvPviZz0zt0u9r4rNUx3KSu91fSwZF3X55SkfnpyiafvS7jm6jNx9xcDmR8XlyPU6DE2LMPQtWCA9YlJ2KoafC5Xz8A2LQsFE4YxcfppOQVssXIDsj5D20cJAwMkdFc1EHgSXnFyCU2lCwujSxn7q0/kOYcnQ+QMZ203ZCyOjvZx54F4Xe09Wde7Rz3sd6h9xPWgdIWMa63gppQULrp74s3sjWTun30sobN6FWBM79AtjNaNQpTTMjcaR1rhbCD9ecRnt6AQMSz62UD6btFqYkGrPivl756NnsIy5cResm0s9E3btE3btK9Je801RYHKU7BDDxa1OEzcysk1NLU1DMvKcyx4hnilXxBERjMmD1hMwrIs+CTihIFYONblAD6JPV/Q4uB1XkWLw6alcZu0OAJTam9NiyO5lvd8U7U4lGNB50B2w1ocFb2AdS0OIv/QajG53KP+zjKCR3ihTTZjUVaYk1UY816N0EfYFkvQxOO1rRDH4oUsltLHS1Wh5Lz5jCSYnXAHg7qMbduT+1YdG8lKLZSd69RAuQ/kl/Je55+d4rPPJd/x+FK8qrwZYP+BkN8efO9tAMDdd/axcyz33SLMrulVSGjT9XLxTPbv93B4KFb95dvyzE/+b5L6nl8gZY1bm96SlaYrSKyx1K3KRcUShonxTMZLLOYkhrXIbvYBbeLlOa1220NcMKnNkohLq4OIkL5JJu99MVrg6YmM9/CxeMXxIIJH0tQ2SxPevb+DO29JzqcpKSDs3qmh4Yl35For1iEK5m8qehWl9ldFUxpNghMuxNquFhbcXJ5FcTyT3MKS3qmBVxbQuLqSPuswOF9mCZYZvWLKRV9vZdCBjL1H2OLV0zHs668moPvaN/S0pfGNf/O7UHXZHCZXMmmkkKt05GLKDQYKsLkBmicNLZSEe8QFN/RSoSIVGfxcnp4BxImuU7cLhitehbrtEolwm6jbbmjoxC+o2+41dcHfUOp2pTWqqkR8w9Rto0//Beo2qbS2kRBm2May1IplapKZiyRFTKOj5DPZWyGcfdl0GgxphM0QJf9uPJKk4+TqCrNncq9HZ7Khb1sFisQkAKUv7h710WYiPmjKzwpVYBHJ4XL5mayRj94/xUPKC084zw7v7eNbf0aQFe99Rzbng7tdHAbydzWLfIdqiZRhgz7RMzvbu9jrSMJ+cCh90bVkQ//khz/BhMxtlyCFebREyX4x4YsqzzG5khAOuPa8XgjuV+jW5R9WvQ3tkqLPjfW61FiS7j4i83ahAqQMZQxG8vdPTsd4+FhQNekVN+eixDZr6x4d8IA6bGFvX65X78hzbnUK2DbnFPeDqihhc19R3NC10lAMg1Ss0XCHiJ8iLpAQWFHarFKWFIgoxFWShq0doNRykgyu5HfvXz2DP5BDKJ+KMZccbEGZ+skM+aTTBcpLJk9fsm1CLpu2aZu2aV+T9lIWulLqPwHwH0FKcv4EwF8DsA/gtwF0AfxLAH9Fa539cdepHCDZ0vg3fu3PYhzJSfv0o8cAAH0+QUloWTY3tUUTNDvCVnNbhAp2fDBngoqQMadQCMm4Cni6Xl5WrIT4RS2OiombV9HiMJVrHIaNboMWh0MG5roWRzJk2OAN1eLQRQmr0mjcsBZHTEbsuhYHDTFYfObUaORU6SpZNpuJmzxfLqAZo6n3xSJsH3ShjuU9GsTpt/udVUWp+kTmhf/Ex+JHLOBCr+/Tk0tMGKLISsN+dHFcijXY1UxyJylOnkn/fP5jWSPvP3yISc7kP2Wd73yrj299R6zC/WPps91ugrctmSt1skOdaoKIAm4jwodd3UbakD6NO0wUv3cPAHA5OEVCeGPKUFJWJHBoXYeBSQRmiBnum5yL9ez85DlCho62uOt07BqCQ3nmnB7p0i6wpLcwKiVUMs+aSFMZoAn1jKLhHMmlPEuykHs06x6OCKndOyDfo+uh25F+Dhoy3nU7Ahr0Ro1+Uq6MlBHA9VNpGyk1ilx6P72eeDxn5ymSUtbLgGGoSZRhzhBSnXDeRsuHFcpY6KXMn/PlaPXM6Wfi/aiLGoKa9EXIusNh4iEf3rCFrpQ6BPAfA/ie1vpnIHGRvwTg7wL4e1rrdwCMAfz6V7rzpm3apm3apt1oe9kYugMgVErlEGT/OYA/B+Av8/e/BeBvA/gHf9xFNDQypfHO934GpxcSY5uxnmS6LFDQQlSEa1VZilZTTq0m47e1/QbcBpNoTML4hYWAx6tv4tutGiJa4+taHEZJ8VW0OJYj6jAoWk63QIvDYtJpXYsjnlM+9k3V4igqOFC4e8NaHDFhr39UiwPAKuadmFq3Vb6y0OdUgkySDD49su6+WF/bx3uofVfYkV5dBjLs1BDS8txN5e/6O21c/E9iwR985xsAgNnHJ7iYEnb6yYk8Z6EwY/z/6EC+O1lc44MPPgEAPDohlHAxQWNfxmX/ZyT2/d7P7uKtt8TKbvli4W25CdqZxG1brlw3cCeYGollku9Guo3CZhESeqCFT8avSpGy/EJakXmsEvS25P6HO5LUj+IF/JzeJpUvi2GOix+KNWpzDWTpFmYsQ9g9kj7xvQpxwQRoIs8xW3pIZ/QiT8kEPb0EzuR6cSSW+m6/h4ND+W5vmzmbuoVGKHM09FgERueoPJmbDss6QtkA4/Qln7nKrFVxj5QJrIsr+cHFMMFgRk0lzXnUbeHwjiTG735D1t7OfmdFhFxYZAhnM4wH8h7zZ/R4Bhn0WK69ZCw/G10A2VoZxZdoX7qha62fK6X+awBPAcQA/hcAPwAw0dqU+8EpgMMvu1ZQeXgvOsA/aX8GRWx4/4cyoFedS1xdkk5M3O+9+/dBDwdb4n1ie89Co8vEHun4lhdgyUKt44lM4J1+e7Vw16nbjZTyuq9A3S5G1HLflc3kNlC3D/qy2Nap23FMqdo3lLpdFAUsy0HnwR0AN0fd1ixO/QXq9gP5jtm885yIBK1XKI6UYZusKOAxdNTqyhg3t7dw/C3pM5PAt2sWakQk+Uo2i/3eNn6f4aw/9Yt/CgDwsHDw5PNHAIDnXOi6qJCTjWnmcRLN8OihjNElUT65U+HgjiyO++8KsuX4Xg+7PW4yZJm2lUaZyPoyBpNypgCRU5U506wMFrW6XVb/msWU38hmiAojIUG0i1Oi2yPm+9gUk26iARofNBqmoyXmFL97XLHWrrdE3JFn3mOt2Y6dIiHYYbxgrd3pckXlnz+SdTH5/DGWj57IPTSLogc9tIhqqvFQdbwSxAMgMGAh5Ih4MNnEuivtQmtT3Yp9mxZgfh0xQ2IffCAH7uNnA0wW8ncuQyXb9w6we1fe42eJLjq6tw3XkjXy3JaxOMnmWFzI2qs+lj1n9qMRTj4VQMAp9f/jy7P/t70vjbEsPc96vrPffal7a+vqdTwee4xDZhwis9h/EkFsQcwmZISEJZAiJJCIEBJGlkh+8Ccg+IGEiIwSEVDAEeAolhBSEpQAf2w8dryNZ6anp7unu7q2u+9n//jxPufOncn0TI+7XHWrdB6pVdWn7r3nu9/5znfe7XleeG7GkH0yPEnIpQHgcwBuAtgFUALwmXd56bvKgimlfkEp9ZJS6qVut/uBBpcjR44cOZ4cTxJy+VkA97TWHQBQSn0VwJ8BUFdKWbTS9wAcvNubtdZfBvBlAPjEJ17UlgM0W3UYNBVnZepAhAHGTBoUaP1sbG1ie0+e/ptbYgm1dqsoUxTLKpCVZTtYUEeizHK2kTnGeMya4hUtjphlX0+jxRE7tNiYALkIWhwnR2KdvU2Lg8niddXiiJQByzZPXYvjxKUE6qoWB8cadOXNesQa6G4PByeSiDwg/2GoLLRomRefIYfgYzW0N8iWZRLOKYVQoPgH9T5M20CRMbiPPU/OhH8FAefvzqtyze51Zwj9BzJO9lKdQ+PVDktBOfbGjR20quJ9NTd2Od1FHFMYrUb2aqRD2DVZN5qd5t20hEXIbjsGhdziXUwpWPfwgRQshNRJmhz00H8gFnKZXsuVnRo2yUvw2iz7TUuosqtWvMWOZKMi3jwUL+7RiXhp/a9PMfflPdMHLNF87uqyKcmgLwZgPJqhwjBj+CYbR9wboziX+XaYuHy2fQ11JqQNuTzARoqZI+9R5GyoRKMWy1piXhyLWYyA/TttsCBAVTAnA/vgvozlNq3n24c99BK5Ftc+/mEAwM1PPoNrz8reVae0trtxjBpDxBjKWtg0NEKyV/dvSWjz8JaP9Jv3ZXwvvQIAOHavY9r5YEbwk5QtPgDwSaVUUUmvpZ8B8EMAfwDgr/M1XwDwOx/ozDly5MiR41TxJDH0byil/hukNDEG8EcQi/t/APiKUuqf89ivve/ZVIrEDOCUDSS0xGJaopP5BNNArObr25LcaV/bwt51eeJtMTG0vVeHW6QELsulUsNCFGdqeiS4wF0+6Ve1OOYUqH8aLY7UE6twmpJUcgG0OI6Yn1jV4rCy5/maanEEpgnXdU5di6PE3o2rWhwZeSgrtxszUTyazpZd3TOHw/QceBWSVWpyHSuNGso1mR8aiagUE9hc34oWOCwLNj2d+qbM/95zWxjRVKRhjd7r++iPxKKzHjE54DjLXqqtHbHKy+0m3AotbyZ5Q21jRqnhrLFHoAzAlNeVsnLfMETAdnhDWsAnYYKTHpPKHVlb3fsS847HMxRJTGtV5RrvbLexd13GsrNHK98CakXJe0TMKfUGUxTvs53iA6qpzgfYv3NH/t4VB39n8QlU6FUlnPd4GiDMEvdsRTnvjZHM5fpt7MraqhaLKFDe1rNJCLTdpdy2NngdoRGQhqvpMaepCZCZugjl2KA3w8M3ycK9Kzm0ew/eAAD4Osb2TUl8Pv+JGwCAj79wBdub8t2a5Sl/ptigRzgmaW1uWBgyXq+1XBMvsVEJ6aUkWSPc19Bhn+UpWy6+H56oykVr/UsAfukdh+8C+OknOkv2OdCIVIBFMMcJXYk+wwOjyRia9catK5LkKbXLqLZk4pub8mUbrQIM6gFE7MiTpglssg0d+y3q9ozMx1Xqdswww9NQtx9SVCrb0C8CdbvP8Msqddtgkm9dqdv9+xY8zzl16nY65c2+Qt2OMi18Vgt1OzI3w8HkLVljbuhOqYjKhnyfelt+Nlo1eEVZF1VyDLaMOSqprG+LFU+BVYDNJHl9k8aFU8OQTNspr4U/HaHTlY00Osq0vStLQTFzi11tbBsB5YXHFHJyOwtoJd9tQXffNQsYWGIoeRm7OJ5hxnr7Pr9crz/D8Z05rwsrab71MgAgPB6gRj7BbkuuyfVrO7hxi3rp/GkVTNgGm6Vn98jMQ6OdCb3JsVfvP8D+CWUF7suGOY0LaDflAVHwuOnOA8Q97hNcK/EkhMvNuM5wZ9G24PB8ij91bCIIuXkyfBiZDuypXDfFLTCKbPgzue9HQ3a3utfFyz8U4+iVlyX81B1J+K2yt4mbPyn32XN/Wn7efK6Iti372paStb1lh7ASeU85YaUOigi4dzmsgy9vXEG0J+PrHMtnbDzawCzgXiOnf1/kTNEcOXLkuCQ42wYXULDhIA4TLGgpjmk9z4ZT8AGKWlOe7uWmixLZjgW6eG7JEq1dAJpJsCRW0HQjTc0wiKtg0OJf1eKYZqVgT6HFMWQ98uACaXG89p3vyzlWtDgmHMu6anHcd204rnnqWhwxw3KrWhwRrdwRWbMTMhIn4wALhjlSLlCn6KFAWd4SE/jFchHK2Od1kdfX4zFakXhdJnkFc6cKk66/Ux5ynA7cLVqv1yUktXHYxmRfrMOYjMjQD6DiTLuGPGh7gvEjuVaWlbGaU0Q9+ZwZuzc5jgW4vG6sPY9ijTEt8/5U1kJ/f4DRbTnfnLXuvdv35VQG0CYzdrshYY7NrTqaW0zcb8j5vaqFmHwHgzZjrWGjwU5fjQ2WoVZNlF+Vr7HPe+n+3S6MDtnHDj0oP0LEOv2Etdol00U588p5zyfzAAsWOzisVfQnRUxsejVLvodCRbPkmCGuxUJjNJD/HBzKZ9x+7QR3yOR88EjmpJGF8D68g+t/Qrzo1nWWzpaGMHzxNArsOtQ0ABVIctvNCgzMJgZa5tFjGCYq2lBFRh4oRpeoGLGZsa6fDLmFniNHjhyXBGfb4AIGLJSQLEwYtNiyru3+JFh2ay9X5IlXbXjL/p0ej9muAWSKiSRrpJaGwfKrIH5LiyOmlsqqFseEDSGeRovjmP0sJx2xsC6CFsdxh2SOFS2OkEzOddXicBwTtm2cuhbHwSH1XVa0OLKSxwk9iGgicxIuIkQse9WZ8qbrwaIFaGVEQyOBTfUgl0SXctJHJZbrbTExbugQBlmZNsvp0shfWmdFKlm29rYw2ZGczoTWeDSLEMwp95w1NAkDZIwqTVLdYr+Lfk3umwJVTQ3LQlgi0Y2FAEkaIoD8PuJ9MT0YIH5T1qZisxiXuYlWewM7rTbnUa5Ts9VAkd6zWeAa9GLUy1kTlqylYARNinGpyLlDHQgZL6dpORj2ELCf7YLszGQRAQv53hVez0KhsPQolwnt6QKTvsyBYcv3n1ZjqCXTi+uoYCGN5R6fsCR02Pdx0pH3vvlAPJ57d49x3KMkMzPiezfEKt+7dRVbZIW6JNylmGHBeyrgmIJQLz0IkIFuGgWYRpaUJet7EWI0lO/d78qa6fSOMAs/WAu6s5XPTYFgofHo3gl67JLTPyTV20+xfYOdcGpsyFyxUWJduc1649TQAG8OZbGDTWogzsIvK9TthBniVep2JoH6NNTtVkNujD77nV4E6nbAJtar1O2E4Zp1pW7bjgnTwKlTt48oSrZK3Y5CmecR/xbPuJ7mGlGQbegMaZjmMpllcC2mSYCqxTp0Wz63kCYomOw4xTBLZJWXbrHLSgzPNZddllxudsVqDR677syypDoCmLzOGcvXChWSmYzdZ323sm1odsxJWeGRKgN6k3Rrauxb0MuqK5+xh2A4g81EeIkSEg3W8G+3W2i3ZC2XWdNerlVRzO5RdvKybI2CQyYkP9c0Ephs2J2JTxm6DJXKBtnkA6g7THC4L9+jR4Z3MJojITPWLpHH4JlLfofF3gKTsQ/l8Ptylj2vjPmU14jCeF7RRc+X8Q15js7JEIeUbn7E8M/xcQcLsomLZTJQaxTQqlbhOiXOIyW+UUVkyz00gsz/IfSy8mbBZvXzuIFxyH7DbMzeOxqhf1/CocP7Emob9PrQxrvyNR+LPOSSI0eOHJcEZ2qhx3GKQXeGO689wMFdsSqOH8rT2EgVdtusN2bCyXaMpQWRIYpjKJU1TqClDmNZereqxZGJzK9qcYS0Lp9Gi2OnJlbK6FBc04ugxZF1SFnV4jBZPreuWiCeIbkAABprSURBVByGoaAMnLoWxz2uuVUtjpgsxqz2Os16zk4CJGTQpjabXigFy6R3yFCOqTVKkDXl0Yo2DANJVlbJGv4Ub4kt2XS3C5YHR7ExCi9kFKVY+FnyUt5TLhfRoHe4YM25qVPY7JJjs5Y9CUL4LCNdsIQ9TIEklmuQFbu7sQmb1nImNe37PjyWzGfiZQ6t3kLRhWLiNabUtWF7sNgtzKD4lGFo6KjHry2frHQCh6/LomRKF6FTWTdl1vM/6IxRYFlygTySk1Sh78u9lpUqL1IbMcMb5kLuTXM4xowW9Yx04TgyYND7iemxe0UXRiJzMWCIptsZoduTc5xQH2kyGcOlVHSD41MspYxiA9OBnH9wJHMYVhzEpjA/Nct0pzpGzRbPe0gvcB646PnyeR0K/fUfTjB5IGswZdmiSlLU63JvnkD+9n7ILfQcOXLkuCQ4Uws9sTUGWyFGfxjAGLNdWCiW7TPXt+EZEmua06JVMwUrK1FkKVi8SKBoHZSpRGYZNoIFZXhXtDhmXbESVrU4hkxMPI0WxxZj97PGxdHimBzIXKxqcVzZkc9bVy0OZQOw9alrcdw+lLlY1eJIbkv93JwEI4vjjRcREiYFMxVOAwqmmUk4s90fNBQZqoizsjPAp3dokMAWJslSxS7TGLKUkfUCQcRzzWc+plP53jG9yvJGAzubwk4cMZZsI4XHtmcOLXkdxMtSy0zXxo9THOKI/2HZZJDCZL4hSGVUcRAgZNFBRFM6jDN2dYgFPUZnwcRynCBh0o8OMZQ2UM4kienuqjSFxTwCqAyqzLcaudAZwPWbLeisp7Ci5Z/aWHAu6Iwg0il8EqRGTBrHUHD5ugXJYHGEZRw6S1h6xQJcS9bIcCDrYzCcYDSW9w6HVDsMp7DYo9hiAtZmKWUUavQ78rqIZnGx4aJWlS8yL9CzN4F99gfuUrl1Op9jMpNr9eihfIfO630MXpO9sH9P7lGvurH0yJ7MPs8t9Bw5cuS4NDjbKpckRTxd4OCN+9DMtLuMexYMd9noeTGl0PtwivmQ1RYsqXNtY1lZsKDloNIIEz5dV7U4RiRLrGpxmPycp9HimHHMtnlxtDhiakGsanHsbEvsfl21OAxlQCkDihUbp6XFkVl2q1oc4Vd+X8bXk2vmNsRrGUURfJbMMXwMyz9CMma1BdvdIbqGgCqUU+Y4JpaCwZirSZXLQFnQNGUNrhkPLVQoMZGSJDTdH2DCALivWVZqOthryjV6YYtlt2V36cX6vlx3fxYiItFtxvLL6SRAm7T9YYEyFp05YlaA1CgpUIiMpffh0vT05qwkGoWoblILn5Vgk/4Rjh+Jt3nNYTOURgOLCUtx2fegUnDhkggUsSfBQk9hcOwuZfe32g10epIrmjxk+WJljMqzvLaUZphMhkhZ2Vam7tEoGiDl/XXMar+7xw+Q2a0amRiPhT5dojI7mhdSAxGJdnHIck3HWDZ1H1HTKf2hrN9ic4YpSWiNvZTHKui72Z5EeYw4gTeT+cmIg/vzBWZjlkPui7d4+K0fYsLqmlZF7ofkxi6e+fTHAACvffUlPAnOlimqASfQOL7zEB43r2pRLkbJKCxLk0KGYyb9GQb71DpgaVRSdGHZ2YKgGxvEGLIGd1WLY0jNlVUtDoeu6tNocQy4KRq82BdBiyOkTsyqFkfW0WhttTg0AK1OXYujsifjW9XiiJlIPTyRedrijZ5EMSwzEzHjOGKNBWMZM26680WCmAzZhPo2EWoItOwsBhP5IarIbjutuUktUsxY4jruy40+6vSW9eUVFgls1YookvVYbZErUSujXGKpXpzJIEdYMOHb78lGZHdnGLF0M+RDM3Li5RqO+N7YShEjY9xS3pis7vhkgMhjoxCylbet2jJEGbDUcz7xsVmnGBu7VyVpgjDiuXiPKNNEoZC16ZJra3YUigzD1FgWODJDBCzPzQoWVM2GY8k1Cuq8l+ICwO9hZoEtbSCl0ROzO1kcp8sQalaSilhLTT+AJOLrtEbCclvamvDnZAMfexg/EmOhd1tCq07Zg+Hy2nLNaJWibPE6M5E+9CNEU36fjqyPeS+ETljPnzXMuLqNnW3Ss58QecglR44cOS4JztRCNwGUUhN6GsAhK7TERGg8j7Fg2ZPPtmKj/gzHD6mBURVrpVYrw6V8bVaCOJ/7y5DLbPaWFscke7quaHE4tAafRosjpETuGJlmyPprcdCpeZsWxyZb6K2rFkeapEgTA5PJ6WpxbH9YPJNVLY6E7viAlnJlLN6aDkI4y3JIOVcwCzDqy3ob8Od4HGM0o94QQzO2amDBa2WwLBHWBmKamQMSr0aDCCdMmO1T36Z3cAiXTOe9tqzR69tVtOsyZ3WqjzabFTTrZIPSAoyDFFN6e5YrFn+qAH1CFjXDAnMzQGzy3nB4DVKFiEn3lOGQRcDwzXiOwSN5/VDLdYyMEAV6kU2WyZZsF0lRwi9gmEzHc2jIeROGkBKtYHINeEw4WypCgdZ6hXtDIfEwoNWcsoTSbZVR3hS2anlLfprQMDl2K0tGR4Cey5jHPepGjRcoUD8pmMv1SxYBwMSwy/LKxDQRsUlNuCALNiCBcDBFRJLcNAvl2CZiJk+Zn0diG7AsGZ9B3eQo1LDoLRjsfxv057Bq3JvaUha996EtXL3K+O8TIrfQc+TIkeOS4Gy1XDRgJoADC67JYnwGpzrHfSx8eaxlJUJhlCDUbJwwoN54zUeJGteKT9T5LMBsRouBMepokiJkMmtVi8N22XThKbQ4XCvTTSG9+gJocbTaYiWsanE0WyzdXFMtjiTSSEyNcS9LZp2OFsfeLTYKWdHiMJjTUfSCMoIa0nRJHooyevx4htGJWNRDNukY7cZ41JbPiG2Sdew6LCbfMr0cQzcR0kI/nMnrBichHt6RdfbodfHqwtEY2zVZnHttWQvXdirYoodVoqBOsa4yx23pwaSRhZRWY4EWoDOxUJoweWjKPEVJDD8rSaRlGxcMwGEityjrQi94P+oYQcpELctuIzOCQ5ekViApTBXRY1lggSQ3x1PQy37nJF6Z7jKpHbJIQocx0qwhDWUbornOQt6wqGDafOYKtj8qnuLmTbmetgXYGdmQfQ/sEAiH8ubuA/G2O/s9GJQ16B7JvI9nEaxsbVZkvs1yARG/W0Lvp8ochhUmsLKWjYzDh3GKGddyyIY7iZViPJZzmMy9mWECzycZjN9baR/uVTlv6apY6I3dBpotmvpPiLOtctEaQRBBpwoxN+MFQySxSjBnsi/hjW6OFFqpbDos/Ua5NEQ9k7flTRj5MQK6VWBSLZ4lSLihrGpxGLxoT6PF4TH8cpG0OLbpxq1qcWTsvHXV4ojDBIZh4vghKwxOSYujUJXvvarFYdH1txhWihYSotGGhqUYWuNczKcBZh1WEh2yxrg9Q7rFZHlZwg1J9a1uOaZFd96oI+KGfkAdj8n+EG8ysdbl2DdsA1fZR3eLCdCNdhF7V+XBnMoPeEUTymJYg0nMVBlLnSOToRTHMRBkdeV8SM8CH+MoC/3RmKoV4FK+usAQShQwQZxEmHOtTsby0A4Oe1BMAhe4YSF0kFKMrcE+sNWmDZObu8mHm9bWciOfjN4KlY5YpdXt8xrPAiQMV9R2JNR24/kd3HhB1l69JWvK8WwYWRezJNtsbYR9PiBYXTRZzFFtUbeIobX5cIwCa8dbG7I+Cq0qTN4bBpO3lsc1GBnwWONv8j7zFzH6rIbpZoKAOoKiVpHFUBOiCE52D/NY6qUocPMu7co4vEYZDtftkyIPueTIkSPHJcEZW+hAnGiESYr50odiWV6pgIxo12HruBQJplk/TvYbdS0TO2R5NstMEkYKKUv/FPUxUt9AyP6Uq1ochqIGx1NocahMRvUCaXEU6D6vanEYTP6sqxZH4EfQGrjzQ0lgnZYWR1Zbv6rFYdIz0EX525x8BtcwlkxWL2M9xinCiXzHwYMJ5/gEyaasqRItPadUhPbovtNz9FQxq6xD90jOf/T6Q3Tp1YBM0fbWJq5QpXNjSz6v1qqhviPzbTTpOZoAsjaA/GBDKVhke9pc56ZlYO6T35HNcRQgpD5NsUV3f3cD1Sty3grDO35G8IwTzOkR9fZZh354iIMTuTcLhlynxShBsmDP0YBlpfDgsNGLzbJg27IwHsrYu8cy9pOHI+w/Ek9rv8swomGiQlnlGx+VhPZHPlrHrVuy9iuunN8uOku9nQX3gzQ24NO6nvZszrtalhVmfWKVo1Cuyf2yuc3k/24d3oZ4KV6VvYJtuWaONuGwnBa00OfjAAbnRzOk6vg+qpmnQ6t8HkdQTNpmNf9m0YBVljkzSvSIDAOB8cFCLrmFniNHjhyXBGebFFUKsEykSBEwjpeVDVbbGwhpDU58SbgEcYSAMa7ZVCwyW6fQtGRTJkA97YAyHzAYR7QiCzETcataHAaTRU+jxRHRWr9IWhxZU9pVLQ4/8wjWVIsjDMVCf3CHuumnpMWRJc5XtThMtv0ymQyeHNLncRxU2XuvxIS6G6ToMy8zIkvS9x/CqMv564y5e2YLqkTPjY1SojRYrsvOy1Ki+Obrb2DGdV5hYnFro472pljjDSZbSxtVWKQxewytKqWRxEzYZ81VFMCviCRiXsoP0Sc7cUoJythUyzxPg0qb9Vu7qDIpV2A+QZN8pGID/kis/MqG5AmGpQr8I/EuOj1qFg0fwWZZ6TzImrKXYFfpYZXIDrdcTEkEzNimBw+GeHAgvx9x8Vsbm9j+iCRAP/InJW7+kZsl7DbJ1ExZ9lvwwDwqhsxZhDqBr2WP6dXIhi2lOInEqg+ydoAVGy02mLl6k0nJ7TJKbZnvckM+w7Sy+D8QUUfJnzLP1JsiYM4ta1xR0AYCT+71ETJNp8VbjVdIYItdE6GibjpZ3/1ZgO48k1F9MpwtU1QpuFYBSBO0dmWi6s9Koi9pV7Cx/REAQIX1oiWjgCQU9+vhPRGuWQxHGJBl1Tt6AwBQSE00SxSYYmLTbdQxitjsYoW6bfmyOTwNdTtjnl0o6vZIxrJK3Z70ZS7Wlbq9CH34YYCXvvc9AKdH3S425XWr1G0jC/2RHzGOmKy3Ldhk/9W4+Tl2imkonzEZsvfo/BiNV2XOhpSVqJQUdJXhBSb14thHzCYrg9vCrj0+PFo+BCvsNlWulJbSzUU2mHArJaRZgp0PcEkwskOT/AVKGwANkUxqYjFbYMpKsAXZxYZjociNqkYZiOaVNops+uKyn6/bzEJNBtKxfG69KA+5oVVEB2To3peQy0lniDdd3mfs8zpHEVaFGzrr1iteGfMRm42w4U2vO8VgyHpxPqg26lW0ross7bWbkszcbUVoMtRSnQhj09CuGI0ApmwmkSBehiEUJZfTdL7sKRwzJFWoeWhvyx6yfYUP0q0Cik3ZHypNMnPJkQniBGPO7cCReQ0jHyUmujW5MoXAQo/zM0kykTMNn31vE4ZUQmXDStgHlYJ3/cEYJ6M6PgjykEuOHDlyXBKccU9RILY0jKqH0jYbIlyTJ661W0dzR8IRizaFpJQH22Wd84ZYK7PeAOFA/t67L1aA35ujT9lTFclTeMtxlu7mqhaH5lP/abQ4Uoh1otkr9CJoccTUKFnV4ti22EZsXbU4OiagFVJavKelxeEey1pa1eLIrNvAE4vV3WAIolpCs0X2b5miYxFguhR569Ob84Eh65xfjaXNYK83xcZNsXwLDKVE/QUCrpX4iFbi7RlqZZmD9hXxAoqlEpwq9YY25PylEpD41Acq0FvRgJ05LrwUk3mMAUNRnRFb60Up9ikW95Ct/wqVOjavSg137UNsLvPRDVz7EBmYTBBbFOIqRiks1v2n12RMD7YT7JNh3GF7tpf/7/dxN6bo1Bty/t1BGzf2JFxS5uc9XJygO2EilUUPr909xqM5Aye7sh/s/qldPPMTZDhXxQO+Fh/hFgsHiuUTToWDmI0l9tmG8U4IzBjKCE25toOFiZOxzGOtSH5Cs4bNXfYXvibvbd9swHVlzetAvneFnoznJ7DZNMXlonZDBUVZ3EXGAJ0DXd5z95jsnScxrALvDdb1mxpIuHfc+b0/BAB8aLqH/SxZ/oTILfQcOXLkuCQ427JFBURmitLVNurPiWWw+RM3AADVqw1s7cjTL6QgfMG0YdMSql0jM7AzxXBfYsia8adOcoR5d873ys/KeALN8qxVLY6ARKan0eIYxWLZDhjrughaHDMmDFe1OCISddZVi8M/qAAauP7Cx+UanZIWR0rrdVWLw2AC2cmSl/RyDCNdkoIsj6WHrol6Kufws0zyNMGYZaqTvqzP5IHGIpbxFYv0QqYxooCeEzV+CpaHgktSG7OdBc9bKpI6THKbhgaXCFyyUVWaQrPAICbDMlzECBjfjbLm6VGCOb2fJCsI8NyljHSN8fJWw8NGRf5epfXqMkbsOYDNNZWyHDSOitBMDnr0cMfDCd54+AoAYDAWq3Q6HMOfirXebsjaipMFuvQapmxQozTQakoMv3brFgDgw89cx9U9iaG3mpm2UhdTn4xuj2PSKTRLZpddREIgZvnylEnw6UEfC2ogVVliWixuoFIRD6NaESu/WmqAjhNMsrMzKe4o1qDDiojtKWPTQ8g1H9B7n6UmZgO5hxWJaSXXQbEi93yQZOXQyVLXJabncfebEfqVHj4IznZDh0ZspGhc30LteZEubX5ULlR7t4Ir3PgSutaOqRExuWHS3fV36+jQBZ1xAcehjalinXNAIawwXCaGVqnbAXXBn4a6PYnk712GKC4CdTtkRckqdTsymeFfU+r2/u+XoTTw3KdelPk+Jeq2xRrlVeq24vyYrHW37KwKwQCXA4oVJrKLLgoNyh9w8ysM54gOmCyeyPXp3Zti3Jcxl9l5yo4VYk5Gn52TCmYBLuMl2SbumTZsJuKZV4SR6CyyBURMUEfhMhTlc+Ma9nwMybYcUzJjNlpgyvMqPjy8egXlhoyrtcWQRsvDdlXmpZFJQSTUANcmjGwwlqxFbZrQNpm3/I6j2MdxKB3s+wxrdXv9JUU+nWahUIXFlKJ3vBbDZLaUtt7kg77ZrKFExmaxJq9zsIGYm2zWVzdJLCR80JqUf7Z0ETErRSKKty06M0TkBdisgqo2m6htyIOkxF3cdQyUGM/yyKTtMhyr7bcSn26UsUiBbLFEZM36sBGz/t/LejqUa6g1JKQJPqwRhzCypOlC5vj4KMGMD6EnRR5yyZEjR45LApV1TzmTkynVATAD0D2zk/7oaGH9x3kRxgjk4zxt5OM8XVyEcV7XWrff70VnuqEDgFLqJa31T53pSX8EXIRxXoQxAvk4Txv5OE8XF2WcT4I85JIjR44clwT5hp4jR44clwTnsaF/+RzO+aPgIozzIowRyMd52sjHebq4KON8X5x5DD1Hjhw5cvx4kIdccuTIkeOS4Mw2dKXUzymlXlNK3VFKffGszvt+UEpdVUr9gVLqFaXUy0qpf8jjv6yUeqSU+g7/fXYNxnpfKfV9juclHmsqpX5PKfU6fzbOeYzPrczZd5RSY6XUL67DfCqlfl0pdaKU+sHKsXedPyX4N1yv31NKvXiOY/yXSqlXOY7fVkrVefyGUmqxMqe/ehZjfI9xPvYaK6X+KefyNaXUXzjncf7WyhjvK6W+w+PnNp+nBq31j/0fABPAGwBuAXAAfBfA82dx7icY2w6AF/l7BcBtAM8D+GUA//i8x/eOsd4H0HrHsX8B4Iv8/YsAfuW8x/mO634E4Po6zCeATwN4EcAP3m/+AHwWwP+EaNN+EsA3znGMfx6Axd9/ZWWMN1ZftwZz+a7XmPfTdwG4AG5yLzDPa5zv+Pu/AvDPzns+T+vfWVnoPw3gjtb6rtY6BPAVAJ87o3O/J7TWh1rrb/P3CYBXAFw531F9IHwOwG/w998A8JfPcSzvxM8AeENr/eZ5DwQAtNb/B0D/HYcfN3+fA/AfteDrAOpKqZ3zGKPW+ne1pjYB8HUAez/ucbwfHjOXj8PnAHxFax1ore8BuAPZE37seK9xKqUUgL8B4L+cxVjOAme1oV8B8HDl//tYw01TKXUDwAsAvsFD/4Bu7q+fdyiD0AB+Vyn1LaXUL/DYltb6EJCHE4DNcxvdH8fn8fabZd3mE3j8/K3rmv07EM8hw02l1B8ppf63UupT5zWoFbzbNV7XufwUgGOt9esrx9ZtPj8QzmpDV+9ybK3Ka5RSZQD/HcAvaq3HAP4dgGcA/CSAQ4hrdt74s1rrFwF8BsDfV0p9+rwH9DgopRwAPw/gv/LQOs7ne2Ht1qxS6kuQZoe/yUOHAK5prV8A8I8A/GelVPW8xofHX+O1m0vib+LtBse6zecHxllt6PsArq78fw/AwRmd+32hlLIhm/lvaq2/CgBa62OtdaK1TgH8e5yRi/he0Fof8OcJgN+GjOk4CwXw58n5jfBt+AyAb2utj4H1nE/icfO3VmtWKfUFAH8RwN/SDPgyhNHj79+CxKY/fF5jfI9rvFZzCQBKKQvAXwXwW9mxdZvPHwVntaF/E8CzSqmbtNw+D+BrZ3Tu9wTjaL8G4BWt9b9eOb4aL/0rAH7wzveeJZRSJaVUJfsdkij7AWQev8CXfQHA75zPCP8Y3mb9rNt8ruBx8/c1AH+b1S6fBDDKQjNnDaXUzwH4JwB+XmtqxcrxtlLSkVopdQvAswDunscYOYbHXeOvAfi8UspVSt2EjPP/nfX43oGfBfCq1no/O7Bu8/kj4ayyr5CqgduQp96XzjsbvDKuPwdx/74H4Dv891kA/wnA93n8awB2znmctyCVAt8F8HI2hwA2APwvAK/zZ3MN5rQIoAegtnLs3OcT8oA5BBBBrMa/+7j5g4QJ/i3X6/cB/NQ5jvEOJAadrc9f5Wv/GtfCdwF8G8BfOue5fOw1BvAlzuVrAD5znuPk8f8A4O+947XnNp+n9S9niubIkSPHJUHOFM2RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4J8Q8+RI0eOS4L/D9YD4DS6OpNvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "left_patch = all_blocks[0]\n",
    "right_patch = all_blocks[1743]\n",
    "combined_hor = np.hstack((left_patch, right_patch))\n",
    "plt.imshow(normalize_img(np.hstack((left_patch, right_patch))))\n",
    "plt.axvline(x=block_size, color='r')\n",
    "plt.axvline(x=block_size - overlap_size, color='b')\n",
    "plt.axvline(x=block_size + overlap_size, color='b')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b086a2a9e8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "right_subpatch = right_patch[:, overlap_size//2:]\n",
    "plt.imshow(normalize_img(right_subpatch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b086a859b0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "left_subpatch = left_patch[:, :block_size - overlap_size//2]\n",
    "plt.imshow(normalize_img(left_subpatch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "combined_subpatch_hor = np.hstack((left_subpatch, right_subpatch))\n",
    "plt.imshow(normalize_img(combined_subpatch_hor))\n",
    "plt.axvline(x=block_size, color='b')\n",
    "plt.axvline(x=block_size - overlap_size//2, color='r')\n",
    "plt.axvline(x=block_size - overlap_size, color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 552, 3)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h_padding = w_padding = block_size\n",
    "target_height = h_new + 2 * h_padding\n",
    "target_width = w_new + 2 * w_padding\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "# for now just focus on first row:\n",
    "target = target[block_size:block_size*2, :, :]\n",
    "target.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b086b4c080>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAABfCAYAAADmtgyhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAB4pJREFUeJzt3H+o3XUdx/Hnqy21TDJ/Mpw0pf2hf9Sq4Q/sD5WUJZH+oaEEjRjsnwKDICZB0X/1T0oQ0SBxQfkjShSJdEyjv9Jt+Ws2pzOWjg2HpBYE1uzdH+dz5XS9896de49n53OfDzh8v9/P+Zx7Pu+77173ez/3ez6pKiRJ/frApAcgSRovg16SOmfQS1LnDHpJ6pxBL0mdM+glqXNjCfokG5LsS7I/yZZxvIckaWGy1PfRJ1kBvABcAxwEdgK3VNVflvSNJEkLMo4r+kuA/VX116r6N3APcP0Y3keStAArx/A1zwNeGTo+CFw6u1OSzcDmdvjZMYxDknr3WlWdPV+ncQR95mh71/xQVW0FtgIkcR0GSTp+f1tIp3FM3RwEzh86Xg0cGsP7SJIWYBxBvxNYm+SCJCcBNwMPjuF9JEkLsORTN1V1NMk3gIeBFcCdVfXcUr+PJGlhlvz2ypEG4Ry9JI1id1Wtn6+Tn4yVpM4Z9JLUOYNekjpn0EtS5wx6SeqcQS9JnTPoJalzBr0kdc6gl6TOGfSS1DmDXpI6Z9BLUucMeknqnEEvSZ0z6CWpcwa9JHXOoJekzhn0ktQ5g16SOmfQS1LnDHpJ6pxBL0mdW7mYFyc5APwTeBs4WlXrk5wB3AusAQ4AX66q1xc3TEnSqJbiiv6qqlpXVevb8RZgR1WtBXa0Y0nShIxj6uZ6YFvb3wbcMIb3kCQt0GKDvoBHkuxOsrm1nVtVhwHa9py5Xphkc5JdSXYtcgySpPewqDl64IqqOpTkHGB7kucX+sKq2gpsBUhSixyHJOkYFnVFX1WH2vYIcD9wCfBqklUAbXtksYOUJI1u5KBPcmqS02b2gWuBPcCDwMbWbSPwwGIHKUka3WKmbs4F7k8y83V+VVW/T7ITuC/JJuBl4KbFD1OSNKpUTX563Dl6SRrJ7qFb24/JT8ZKUucMeknqnEEvSZ0z6CWpcwa9JHXOoJekzhn0ktQ5g16SOmfQS1LnDHpJ6pxBL0mdM+glqXMGvSR1zqCXpM4Z9JLUOYNekjpn0EtS5wx6SeqcQS9JnTPoJalzBr0kdW7eoE9yZ5IjSfYMtZ2RZHuSF9v2Y609SX6cZH+SZ5J8ZpyDlyTNbyFX9HcBG2a1bQF2VNVaYEc7BvgCsLY9NgM/XZphSpJGNW/QV9Ufgb/Par4e2Nb2twE3DLX/ogb+BJyeZNVSDVaSdPxWjvi6c6vqMEBVHU5yTms/D3hlqN/B1nZ49hdIspnBVT/AW8Ce2X06dxbw2qQH8T5bbjUvt3rBmt9vH19Ip1GD/lgyR1vN1bGqtgJbAZLsqqr1SzyWE5o192+51QvWfKIa9a6bV2emZNr2SGs/CJw/1G81cGj04UmSFmvUoH8Q2Nj2NwIPDLV/td19cxnw5swUjyRpMuaduklyN3AlcFaSg8D3gB8A9yXZBLwM3NS6/w64DtgP/Av42gLHsfX4ht0Fa+7fcqsXrPmElKo5p9AlSZ3wk7GS1DmDXpI6N/GgT7Ihyb62bMKW+V8xHZbb0hFJzk/yWJK9SZ5Lcmtr77nmU5I8keTpVvP3W/sFSR5vNd+b5KTWfnI73t+eXzPJ8Y8qyYokTyZ5qB33Xu+BJM8meSrJrtY2Vef1RIM+yQrgJwyWTrgYuCXJxZMc0xK6i+W1dMRR4FtVdRFwGfD19m/Zc81vAVdX1aeAdcCGdrfZD4HbW82vA5ta/03A61X1CeD21m8a3QrsHTruvV6Aq6pq3dD98tN1XlfVxB7A5cDDQ8e3AbdNckxLXN8aYM/Q8T5gVdtfBexr+z8Dbpmr37Q+GNxye81yqRn4MPBn4FIGn5Jc2drfOceBh4HL2/7K1i+THvtx1rmaQbBdDTzE4EOS3dbbxn4AOGtW21Sd15OeujnWkgm9+r+lI4D5lo6YSu1X9E8Dj9N5zW0a4ykGHxrcDrwEvFFVR1uX4breqbk9/yZw5vs74kW7A/g28N92fCZ91wuDT/c/kmR3W7oFpuy8XuolEI7XgpdM6Fw334ckHwF+A3yzqv6RzFXaoOscbVNXc1W9DaxLcjpwP3DRXN3adqprTvJF4EhV7U5y5UzzHF27qHfIFVV1qK3ptT3J8+/R94SsedJX9MttyYSul45I8kEGIf/Lqvpta+665hlV9QbwBwZ/nzg9ycxF1HBd79Tcnv8o714Z9kR2BfClJAeAexhM39xBv/UCUFWH2vYIgx/mlzBl5/Wkg34nsLb91f4k4GYGyyj0qtulIzK4dP85sLeqfjT0VM81n92u5EnyIeDzDP5I+RhwY+s2u+aZ78WNwKPVJnKnQVXdVlWrq2oNg/+rj1bVV+i0XoAkpyY5bWYfuJbBSrvTdV5P+o8EDJZMeIHB3OZ3Jj2eJazrbgbLM/+HwU/5TQzmJ3cAL7btGa1vGNx99BLwLLB+0uMfod7PMfgV9Rngqfa4rvOaPwk82WreA3y3tV8IPMFgKZBfAye39lPa8f72/IWTrmERtV8JPNR7va22p9vjuZmMmrbz2iUQJKlzk566kSSNmUEvSZ0z6CWpcwa9JHXOoJekzhn0ktQ5g16SOvc/DC6uGx6zXAYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "200\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# first place random patch in top left\n",
    "rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "x_end = w_padding + block_size\n",
    "target[:, x_end - block_size:x_end] = rand_patch\n",
    "plt.imshow(normalize_img(target))\n",
    "print(x_end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "192 ---> 284\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# now place second patch\n",
    "# for now just select random patch\n",
    "second_patch = np.ones_like(all_blocks[np.random.randint(len(all_blocks))])*400\n",
    "x_end += block_size - overlap_size\n",
    "target[:, x_end - block_size + overlap_size//2:x_end] = second_patch[:, overlap_size//2:]\n",
    "plt.imshow(normalize_img(target))\n",
    "print(x_end - block_size + overlap_size//2,\"--->\",x_end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "284"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "276 ---> 368\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# third_patch = np.ones_like(all_blocks[np.random.randint(len(all_blocks))]) * 90\n",
    "third_patch = np.arange(100*100*3).reshape(100,100,3)/100\n",
    "x_end += block_size - overlap_size\n",
    "target[:, x_end - block_size + overlap_size//2:x_end] = third_patch[:, overlap_size//2:]\n",
    "plt.imshow(normalize_img(target))\n",
    "print(x_end - block_size + overlap_size//2,\"--->\",x_end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 100, 3)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_blocks[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15226\n"
     ]
    },
    {
     "ename": "NameError",
     "evalue": "name 'all_left_blocks' is not defined",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-15-a96e42416e16>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     22\u001b[0m     \u001b[0mpatch_left\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtarget\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx_end\u001b[0m \u001b[1;33m-\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mblock_size\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mx_end\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mblock_size\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     23\u001b[0m     \u001b[0mblock_left\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpatch_left\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m-\u001b[0m\u001b[0moverlap_size\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 24\u001b[1;33m     \u001b[0mleft_sqdfs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msum\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mall_left_blocks\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mblock_left\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m**\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     25\u001b[0m     \u001b[0mleft_cost\u001b[0m  \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msum\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mleft_sqdfs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     26\u001b[0m     \u001b[0mtotal_cost\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mzeros_like\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mleft_cost\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'all_left_blocks' is not defined"
     ],
     "output_type": "error"
    }
   ],
   "source": [
    "# now put this in a for loop:\n",
    "h_padding = w_padding = block_size\n",
    "target_height = h_new + 2 * h_padding\n",
    "target_width = w_new + 2 * w_padding\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "# for now just focus on first row:\n",
    "target = target[block_size:block_size*2, :, :]\n",
    "\n",
    "# place top left patch randomly\n",
    "x_end = w_padding + block_size\n",
    "rand_idx = np.random.randint(len(all_blocks))\n",
    "print(rand_idx)\n",
    "rand_patch = all_blocks[rand_idx]\n",
    "target[:, x_end - block_size:x_end] = rand_patch\n",
    "for x in range(4):\n",
    "    if x == 0:\n",
    "        continue\n",
    "        \n",
    "#     rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "    \n",
    "    patch_left = target[:, x_end - 2*block_size:x_end - block_size]\n",
    "    block_left = patch_left[:, -overlap_size:]\n",
    "    left_sqdfs = np.sum((all_left_blocks - block_left) ** 2, axis=-1)\n",
    "    left_cost  = np.sqrt(np.sum(left_sqdfs, axis=(1,2)))\n",
    "    total_cost = np.zeros_like(left_cost)\n",
    "    x_offset = 0\n",
    "    if x > 0:\n",
    "        x_offset += overlap_size//2\n",
    "        total_cost += left_cost\n",
    "    \n",
    "    min_block = all_blocks[np.argmin(total_cost)]\n",
    "    print(np.argmin(total_cost))\n",
    "    x_end += block_size - overlap_size\n",
    "    target[:, x_end - block_size + overlap_size//2:x_end] = min_block[:, overlap_size//2:]\n",
    "plt.imshow(normalize_img(target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# now try vertical\n",
    "h_padding = w_padding = block_size\n",
    "target_height = h_new + 2 * h_padding\n",
    "target_width = w_new + 2 * w_padding\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "# for now just focus on first column:\n",
    "target = target[:, block_size:block_size*2, :]\n",
    "\n",
    "# place top left patch randomly\n",
    "y_end = h_padding + block_size\n",
    "rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "target[y_end - block_size:y_end, :] = rand_patch\n",
    "for y in range(4):\n",
    "    if y == 0:\n",
    "        continue\n",
    "    rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "    y_end += block_size - overlap_size\n",
    "    target[y_end - block_size + overlap_size//2:y_end, :] = rand_patch[overlap_size//2:, :]\n",
    "plt.imshow(normalize_img(target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# now try full\n",
    "h_padding = w_padding = block_size\n",
    "target_height = h_new + 2 * h_padding\n",
    "target_width = w_new + 2 * w_padding\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "y_end = h_padding + block_size\n",
    "step = block_size - overlap_size\n",
    "for y in range(nx_blocks):\n",
    "    x_end = w_padding + block_size\n",
    "    \n",
    "    for x in range(ny_blocks):\n",
    "        \n",
    "        if x == 0 and y == 0:\n",
    "            # place top left patch randomly\n",
    "            rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "            target[y_end - block_size:y_end, x_end - block_size:x_end] = rand_patch\n",
    "            x_end += step\n",
    "            continue\n",
    "        \n",
    "        # place patch\n",
    "        rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "        # for visualization\n",
    "        rand_patch[:, :, np.random.randint(3)] *= 1.2\n",
    "        rand_patch[:, :, np.random.randint(3)] *= 2.3\n",
    "        rand_patch[:, :, np.random.randint(3)] *= 1.6\n",
    "        \n",
    "        x_offset = y_offset = 0\n",
    "        if x > 0:\n",
    "            x_offset += overlap_size//2\n",
    "        if y > 0:\n",
    "            y_offset += overlap_size//2\n",
    "            \n",
    "        target[y_end - block_size + y_offset:y_end, \n",
    "               x_end - block_size + x_offset:x_end] = rand_patch[y_offset:, x_offset:]\n",
    "\n",
    "        x_end += step\n",
    "    y_end += step\n",
    "    \n",
    "plt.imshow(normalize_img(target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#### Now compute cost function for top and left blocks\n",
    "all_blocks = np.array(all_blocks)\n",
    "all_blocks.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_top_blocks = all_blocks[:, :overlap_size]\n",
    "all_left_blocks = all_blocks[:, :, :overlap_size]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# x_end = w_padding\n",
    "# y_end = h_padding\n",
    "x_end -= block_size\n",
    "y_end -= block_size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get the bottom of the above block\n",
    "patch_to_fill = target[y_end - block_size:y_end, x_end - block_size:x_end]\n",
    "plt.imshow(normalize_img(patch_to_fill))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "patch_above = target[y_end - 2*block_size:y_end - block_size, x_end - block_size:x_end]\n",
    "plt.imshow(normalize_img(patch_above))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "block_above = patch_above[-overlap_size:, :]\n",
    "plt.imshow(normalize_img(block_above))\n",
    "block_above.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# then get the rightside of the block to the left of the current patch\n",
    "patch_left = target[y_end - block_size:y_end, x_end - 2*block_size:x_end - block_size]\n",
    "plt.imshow(normalize_img(patch_left))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "block_left = patch_left[:, -overlap_size:]\n",
    "plt.imshow(normalize_img(block_left))\n",
    "block_left.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "## now compute the costs (L2 Dist.)\n",
    "top_sqdfs = np.sum((all_top_blocks - block_above) ** 2, axis=-1)\n",
    "left_sqdfs = np.sum((all_left_blocks - block_left) ** 2, axis=-1)\n",
    "\n",
    "top_cost = np.sum(np.sqrt(top_sqdfs), axis=(1,2))\n",
    "left_cost = np.sum(np.sqrt(left_sqdfs), axis=(1,2))\n",
    "top_cost.shape, left_cost.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# now try full\n",
    "h_padding = w_padding = block_size\n",
    "target_height = h_new + 2 * h_padding\n",
    "target_width = w_new + 2 * w_padding\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "all_top_blocks = all_blocks[:, :overlap_size]\n",
    "all_left_blocks = all_blocks[:, :, :overlap_size]\n",
    "\n",
    "y_end = h_padding + block_size\n",
    "step = block_size - overlap_size\n",
    "for y in range(nx_blocks):\n",
    "    x_end = w_padding + block_size\n",
    "    \n",
    "    for x in range(ny_blocks):\n",
    "        \n",
    "        if x == 0 and y == 0:\n",
    "            # place top left patch randomly\n",
    "            rand_patch = all_blocks[np.random.randint(len(all_blocks))]\n",
    "            target[y_end - block_size:y_end, x_end - block_size:x_end] = rand_patch\n",
    "            x_end += step\n",
    "            continue\n",
    "        \n",
    "        # place patch       \n",
    "        patch_above = target[y_end - 2*block_size:y_end - block_size, x_end - block_size:x_end]\n",
    "        block_above = patch_above[-overlap_size:, :]\n",
    "        patch_left = target[y_end - block_size:y_end, x_end - 2*block_size:x_end - block_size]\n",
    "        block_left = patch_left[:, -overlap_size:]\n",
    "\n",
    "        ## now compute the costs (L2 Dist.)\n",
    "        top_sqdfs = np.sum((all_top_blocks - block_above) ** 2, axis=-1)\n",
    "        left_sqdfs = np.sum((all_left_blocks - block_left) ** 2, axis=-1)\n",
    "\n",
    "        top_cost   = np.sqrt(np.sum(top_sqdfs, axis=(1,2)))\n",
    "        left_cost  = np.sqrt(np.sum(left_sqdfs, axis=(1,2)))\n",
    "        total_cost = np.zeros_like(top_cost)\n",
    "        \n",
    "        x_offset = y_offset = 0\n",
    "        if x > 0:\n",
    "            x_offset += overlap_size//2\n",
    "            total_cost += left_cost\n",
    "        if y > 0:\n",
    "            y_offset += overlap_size//2\n",
    "            total_cost += top_cost\n",
    "            \n",
    "        min_block = all_blocks[np.argmin(total_cost)]\n",
    "        \n",
    "        target[y_end - block_size + y_offset:y_end, \n",
    "               x_end - block_size + x_offset:x_end] = min_block[y_offset:, x_offset:]\n",
    "\n",
    "        x_end += step\n",
    "    y_end += step\n",
    "    \n",
    "plt.imshow(normalize_img(target))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.imshow(normalize_img(target[h_padding:480, w_padding:])), y_end, x_end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
